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  • HU Berlin  (7)
  • TH Wildau  (3)
  • Inst. Menschenrechte
  • Müncheberg ZALF
  • GB Zeuthen
  • KB Oder-Spree
  • Rogers, C.
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  • 1
    Online Resource
    Online Resource
    Amsterdam ; New York : North-Holland | New York, N.Y., U.S.A : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co
    UID:
    b3kat_BV036962475
    Format: 1 Online-Ressource (viii, 459 p.) , ill , 24 cm
    Edition: Online-Ausgabe Elsevier e-book collection on ScienceDirect Sonstige Standardnummer des Gesamttitels: 041169-3
    ISBN: 0444875867 , 9780444875860
    Series Statement: North-Holland mathematics studies 97
    Note: Includes bibliographical references. - Papers presented at an international meeting held at the University of Toronto, June 20-24, 1983, under the auspices of the Canadian Applied Mathematics Society
    Additional Edition: Reproduktion von Wave phenomena 1984
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: Wellenausbreitung ; Mathematische Methode ; Welle ; Konferenzschrift ; Konferenzschrift ; Konferenzschrift
    URL: Volltext  (Deutschlandweit zugänglich)
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  • 2
    UID:
    b3kat_BV036962584
    Format: 1 Online-Ressource (1 online resource (417 p.)) , ill
    Edition: Online-Ausgabe Elsevier e-book collection on ScienceDirect Sonstige Standardnummer des Gesamttitels: 041169-3
    Series Statement: Mathematics in science and engineering v. 183
    Note: Description based on print version record
    Additional Edition: Reproduktion von Nonlinear boundary value problems in science and engineering c1989
    Language: English
    Keywords: Randwertproblem ; Nichtlineare Theorie
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  • 3
    Online Resource
    Online Resource
    Boston : Academic Press
    UID:
    b3kat_BV036962585
    Format: 1 Online-Ressource (1 online resource (ix, 475 p.)) , ill
    Edition: Online-Ausgabe Elsevier e-book collection on ScienceDirect Sonstige Standardnummer des Gesamttitels: 041169-3
    Series Statement: Mathematics in science and engineering v. 185
    Note: Description based on print version record
    Additional Edition: Reproduktion von Nonlinear equations in the applied sciences c1992
    Language: English
    Keywords: Nichtlineare partielle Differentialgleichung ; Technik ; Physik ; Nichtlineare Gleichung ; Aufsatzsammlung
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  • 4
    Book
    Book
    Boston u.a. :Academic Press,
    UID:
    almahu_BV004626118
    Format: XIII, 417 S. : graph. Darst.
    ISBN: 0-12-593110-7
    Series Statement: Mathematics in science and engineering 183
    Note: Literaturverz. S. 393 - 410
    Language: English
    Subjects: Mathematics
    RVK:
    RVK:
    Keywords: Randwertproblem ; Nichtlineare Theorie
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  • 5
    Book
    Book
    New York [u.a.] :Acad. Press,
    UID:
    almahu_BV000029788
    Format: XIII, 344 S. : , graph. Darst.
    ISBN: 0-12-592850-5
    Series Statement: Mathematics in science and engineering 161
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: Bäcklund-Transformation ; Mathematische Physik ; Transformation ; Numerische Mathematik ; Partielle Differentialgleichung
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  • 6
    Online Resource
    Online Resource
    Boston :Academic Press,
    UID:
    almahu_9947367172102882
    Format: 1 online resource (433 p.)
    ISBN: 1-282-28985-3 , 9786612289859 , 0-08-095870-2
    Series Statement: Mathematics in science and engineering ; 183
    Content: Nonlinear boundary value problems in science and engineering
    Note: Description based upon print version of record. , Front Cover; Nonlinear Boundary Value Problems in Science and Engineering; Copyright Page; Contents; Preface; Acknowledgements; Chapter 1. Bäcklund and Involutory Transformations; 1.1 Bäcklund Transformations; 1.2 Nonlinear Boundary Value Problems for the Burgers' Hierarchy. Reduction via a Bäcklund Transformation; 1.3 Application to Nonlinear Infiltration with Prescribed Boundary Flux; 1.4 Initial Value Problems and the Thomas Transformation. Reduction to Riemann-Volterra Canonical Form; 1.5 Reciprocal Transformations and Nonlinear Boundary Value Problems , 1.6 Application to Nonlinear Heat Conduction1.7 Reduction of Nonlinear Boundary Value Problems via Coupled Reciprocal and Bäcklund Transformations; 1.8 Application to Two-Phase Flow in a Porous Reservoir; 1.9 A Generalized Reciprocal Transformation. Application in Nonlinear Visco-Elastic Wave Propagation; 1.10 Coupled Inverse and Reciprocal Bäcklund Transformations. Reduction of a Nonlinear Shallow Water Wave System; 1.11 A Model of Atmospheric Frontogenesis. Reduction via a Reciprocal Transformation , Chapter 2. Bergman-Type Expansion Methods. Nonlinear Moving Boundary and Stefan-Boltzmann Problems2.1 Introduction; 2.2 1 + 1 Dimensional Stefan Problems; 2.3 Iterated Error Integral Expansions of Bergman-Type; 2.4 Conditions at the Moving Boundary; 2.5 The Classical Neumann Solution; 2.6 Single Phase Moving Boundary Problems in Nonlinear Heat Conduction; 2.7 Two-Phase Stefan Problems in Nonlinear Heat Conduction. Application of a Reciprocal Transformation; 2.8 A Spherical Reaction Problem; 2.9 Heat Conduction in an Inhomogeneous Half-Space Subject to a Nonlinear Boundary Condition , 2.10 A Stefan-Boltzmann Nonlinear Boundary Value Problem. Padé Extension of Bergman SeriesChapter 3. Model Constitutive Laws; 3.1 Model Constitutive Laws and Reduction to Canonical Form; 3.2 Ermakov Systems, Nonlinear Superposition and Weak Bäcklund Transformations; 3.3 Application to Large Amplitude Oscillation in a Thin-Walled Tube of Mooney-Rivlin Material; 3.4 Loewner-Type Bäcklund Transformations and Nonlinear Wave Propagation. Reduction to Hyperbolic Canonical Form; 3.5 Termination of Bergman Series and Solution of a Class of Nonlinear Cauchy Initial Value Problems , 3.6 The Finite Plane Strain Deformation of Elastic Materials. A Class of Parametric Strain Energy Potentials. Harmonic Media3.7 Adkins' Duality Principle. Application to the Plane Strain Deformation of a Mooney-Rivlin Material; Chapter 4. Invariance Group Analysis and Its Applications; 4.1 Introduction and Literature; 4.2 Construction of Lie Invariance Groups. Infinitesimal Transformations. Nth Extension. Canonical Variables and Symmetry Reduction; 4.3 Invariance Group Properties of a Nonlinear Wave Equation; 4.4 Invariance Group Properties of a Nonlinear Visco-Elastic System , 4.5 Lie Algebras. Commutator Tables , English
    Additional Edition: ISBN 0-12-593110-7
    Language: English
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  • 7
    Online Resource
    Online Resource
    New York :Academic Press,
    UID:
    almahu_9947367199102882
    Format: 1 online resource (349 p.)
    ISBN: 1-282-28882-2 , 9786612288821 , 0-08-095667-X
    Series Statement: Mathematics in science and engineering ; 161
    Content: Ba?cklund transformations and their applications
    Note: Description based upon print version of record. , Front Cover; Bäcklund Transformations and Their Applications; Copyright Page; Contents; Preface; Acknowledgments; General Introduction and Outline; CHAPTER 1. Bäcklund Transformations and Their Application to Nonlinear Equations of Mathematical Physics; 1.1 The Origin and Importance of Bäcklund Transformations; 1.2 The 1 + 1 Sine-Gordon Equation. The Permutability Theorem. Bianchi Diagrams; 1.3 Ultrashort Optical Pulse Propagation in a Resonant Medium. 2Np Light Pulses , 1.4 Propagation of Magnetic Flux through a Long Josephson Junction. An Elliptic Analog of the 1 + 1 Sine-Gordon Equation. Generation of Solutions via a Bäcklund Transformation1.5 The Cole-Hopf Reduction of Burgers' Equation to the Heat Equation. Solution of Initial Value Problems; 1.6 Finite Amplitude Dispersive Waves and the Korteweg-deVries Equation; 1.7 The Wahlquist-Estabrook Invariant Transformation of the Korteweg-deVries Equation. The Soliton Ladder; 1.8 An Auto-Bäcklund Transformation of the Modified Korteweg-deVries Equation. The Permutability Theorem and Generation of Solutions , 1.9 The Miura Transformation1.10 A Nonlinear Schrödinger Equation; 1.11 Bäcklund Transformations and the AKNS System. An Invariant Transformation of the Cubic Schrödinger Equation; 1.12 The Hirota Bilinear Operator Formulation of Bäcklund Transformations. The Boussinesq Equation. Kaup's Higher Order Water Wave Equation; 1.13 Bäcklund Transformations for Higher Order Korteweg-deVries Equations; 1.14 Bäcklund Transformations in Higher Dimensions. The Sine-Gordon Equation in 3 + 1 Dimensions. The Kadomtsev-Petviashvili Equation. The Yang Equations , 1.15 The Benjamin-Ono Equation for Internal Deep Water Waves. The Nakamura Transformation1.16 A Bäcklund Transformation for Joseph's Equation for Internal Waves in a Stratified Fluid with Finite Depth; 1.17 Bäcklund Transformations of Nonlinear Lattice Equations in Their Continuum Approximation. The Konno-Sanuki Transformation; 1.18 Bäcklund Transformations of Nonlinear Differential-Difference Equations. The Toda and Associated Lattices; 1.19 Bäcklund Transformations in General Relativity. The Ernst Equations. Neugebauer's Permutability Theorem , CHAPTER 2. A Local Jet-Bundle Formulation of Bäcklund Transformations2.1 Preliminaries; 2.2 Contact Structures; 2.3 Partial Differential Equations on Jet Bundles; 2.4 Fibered Products of Jet Bundles; 2.5 Bäcklund Maps; 2.6 Bäcklund Transformations Determined by Bäcklund Maps; 2.7 Symmetries of Differential Equations and One-Parameter Families of Bäcklund Maps; 2.8 The Wahlquist-Estabrook Procedure; CHAPTER 3. Bäcklund Transformations in Gasdynamics, Nonlinear Heat Conduction, and Magnetogasdynamics; 3.1 The Reciprocal Relations and the Haar Transformation , 3.2 Properties of the Reciprocal Relations. Invariance of the Equation of State , English
    Additional Edition: ISBN 0-12-592850-5
    Language: English
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  • 8
    Online Resource
    Online Resource
    Boston ; : Academic Press,
    UID:
    almahu_9947366312902882
    Format: 1 online resource (486 p.)
    ISBN: 1-282-28986-1 , 9786612289866 , 0-08-095872-9
    Series Statement: Mathematics in science and engineering ; v. 185
    Content: Nonlinear equations in the applied sciences
    Note: Description based upon print version of record. , Front Cover; Nonlinear Equations in the Applied Sciences; Copyright Page; Contents; Contributors; Preface; Chapter 1. Improperly Posed Problems for Nonlinear Partial Differential Equations; Chapter 2. Symmetry in Nonlinear Mechanics; Chapter 3. Shui-Nee Chow and Masahiro Yamashita Geometry of the Melnikov Vector; Chapter 4. Nonlinear Waves; Chapter 5. Integrable Nonlinear Equations; Chapter 6. Hamiltonian Structure and Integrability; Chapter 7. Symmetric Chaos; Chapter 8. Bäcklund and Reciprocal Transformations: Gauge Connections; Chapter 9. Nonlinear Reaction-Diffusion Systems , Chapter 10. Riccati-type Pseudopotentials and Their ApplicationsChapter 11. Nonlinear Elasticity: Incremental Equations and Bifurcation Phenomena; Index; List of Recent Titles , English
    Additional Edition: ISBN 0-12-056752-0
    Language: English
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  • 9
    UID:
    almahu_9948321025802882
    Format: xvii, 413 p. : , ill.
    Edition: Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.
    Series Statement: Cambridge texts in applied mathematics
    Language: English
    Keywords: Electronic books.
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  • 10
    UID:
    almahu_9947367836202882
    Format: 1 online resource (469 p.)
    ISBN: 1-281-78816-3 , 9786611788162 , 0-08-087208-5
    Series Statement: North-Holland mathematics studies ; 97
    Content: This volume contains 35 of the contributions to the international meeting Wave Phenomena: Modern Theory and Applications, held at the University of Toronto, Canada, at the end of June 1983.
    Note: Papers presented at an international meeting held at the University of Toronto, June 20-24, 1983, under the auspices of the Canadian Applied Mathematics Society. , Front Cover; Wave Phenomena: Modern Theory and Applications; Copyright Page; LIST OF CONTENTS; Preface; CHAPTER 1. EQUATIONS OF EVOLUTION AND WAVES; CHAPTER 2. RATIONAL FUNCTION FREQUENCY EXTRAPOLATION IN ULTRASONIC TOMOGRAPHY; CHAPTER 3. NONLINEAR TRAVELLING WAVES IN FLUIDS; CHAPTER 4. SECOND ORDER WAVE INTERACTION WITH LARGE STRUCTURES; CHAPTER 5. ACCELERATION WAVES IN ISOTROPIC CONSTRAINED THERMOELASTIC MATERIALS; CHAPTER 6. A LAGRANGIAN VIEW OF WAVE-MEAN FLOW INTERACTION; CHAPTER 7. A THEORY OF DYNAMICAL FERROELECTRICITY , CHAPTER 8. SOLITARY WAVE SOLUTIONS OF GENERALISED KORTEWEG-DE VRIES EQUATIONSCHAPTER 9. GEOMETRICAL CRYSTAL ACOUSTICS; CHAPTER 10. RIEMANN INVARIANTS; CHAPTER 11. VARIATIONAL FORMULATION OF THE SINGULAR SURFACE PROPAGATION IN NONSIMPLE ELASTIC MATERIALS; CHAPTER 12. FORCED INTEGRABLE SYSTEMS; CHAPTER 13. INHOMOGENEOUS PLANE WAVES IN INCOMPRESSIBLE ELASTIC MATERIALS; CHAPTER 14. CAN ACOUSTIC FOCUSING GENERATE TURBULENT SPOTS?; CHAPTER 15. NONLINEAR WAVES IN THE PELLET FUSION PROCESS; CHAPTER 16. ENTROPY PRINCIPLE, SYMMETRIC HYPERBOLIC SYSTEMS AND SHOCK WAVES , CHAPTER 17. DIFFERENTIAL AND DISCRETE SPECTRAL PROBLEMS AND THEIR INVERSESCHAPTER 18. WAVEFRONT FIELDS IN THE SCATTERING OF TRANSIENT ELASTIC WAVES BY A SURFACE-BREAKING CRACK; CHAPTER 19. WIENER-HOPF ANALYSIS: AN APPRAISAL AND A NON-STANDARD APPLICATION; CHAPTER 20. STRESS WAVE PROPAGATION IN DISCRETE RANDOM SOLIDS; CHAPTER 21. DO LIOUVILLE'S SOLUTIONS POSSESS TOPOLOGICAL CHARGE?; CHAPTER 22. DISLOCATIONS IN THE DYNAMIC ANALYSIS OF CRACKS; CHAPTER 23. A BÄCKLUND TRANSFORMATION FOR A NONLINEAR TELEGRAPH EQUATION; CHAPTER 24. ON LINEAR DISPERSIVE WAVES WITH DISSIPATION , CHAPTER 25. LIMITING GASDYNAMIC THEORY AND ITS APPLICATIONSCHAPTER 26. SCATTERING OF ACOUSTIC WAVES BY IMPEDANCE SURFACES; CHAPTER 27. INTERACTING NONLINEAR WAVES IN A NEURAL CONTINUUM MODEL: ASSOCIATIVE MEMORY AND PATTERN RECOGNITION; CHAPTER 28. SOLITON DYNAMIC STATES IN THE SINE-GORDON SYSTEM; CHAPTER 29. AN ASYMPTOTIC ANALYSIS OF ACOUSTIC SCATTERING BY NEARLY RIGID OR SOFT TARGETS; CHAPTER 30. SYMMETRY REDUCTION FOR NONLINEAR WAVE EQUATIONS IN RIEMANNIAN AND PSEUDO-RIEMANNIAN SPACES , CHAPTER 31. INTEGRAL REPRESENTATIONS FOR SOLUTIONS TO SOME DIFFERENTIAL EQUATIONS THAT ARISE IN WAVE THEORYCHAPTER 32. NONLINEAR WAVE PHENOMENA IN THE BRAIN; CHAPTER 33. SOLITON SOLUTIONS TO ZAKHAROV-SHABAT SYSTEMS BY THE REDUCTION METHOD; CHAPTER 34. MULTIPLE SCATTERING BY SH WAVES BY RANDOMLY DISTRIBUTED DISSIMILAR SCATTERERS; CHAPTER 35. AN INTEGRAL EQUATION ARISING IN DIFFRACTION THEORY , English
    Additional Edition: ISBN 0-444-87586-7
    Language: English
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