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  • FU Berlin  (7)
  • HTW Berlin  (3)
  • TU Berlin  (3)
  • ÖB Kleinmachnow
  • Hertie School
  • Rogers, C.
  • 1
    Online-Ressource
    Online-Ressource
    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
    Umfang: 1 Online-Ressource (viii, 459 p.) , ill , 24 cm
    Ausgabe: Online-Ausgabe Elsevier e-book collection on ScienceDirect Sonstige Standardnummer des Gesamttitels: 041169-3
    ISBN: 0444875867 , 9780444875860
    Serie: North-Holland mathematics studies 97
    Anmerkung: 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
    Weitere Ausg.: Reproduktion von Wave phenomena 1984
    Sprache: Englisch
    Fachgebiete: Mathematik
    RVK:
    Schlagwort(e): Wellenausbreitung ; Mathematische Methode ; Welle ; Konferenzschrift ; Konferenzschrift ; Konferenzschrift
    URL: Volltext  (Deutschlandweit zugänglich)
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 2
    Online-Ressource
    Online-Ressource
    Boston : Academic Press
    UID:
    b3kat_BV036962585
    Umfang: 1 Online-Ressource (1 online resource (ix, 475 p.)) , ill
    Ausgabe: Online-Ausgabe Elsevier e-book collection on ScienceDirect Sonstige Standardnummer des Gesamttitels: 041169-3
    Serie: Mathematics in science and engineering v. 185
    Anmerkung: Description based on print version record
    Weitere Ausg.: Reproduktion von Nonlinear equations in the applied sciences c1992
    Sprache: Englisch
    Schlagwort(e): Nichtlineare partielle Differentialgleichung ; Technik ; Physik ; Nichtlineare Gleichung ; Aufsatzsammlung
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 3
    Online-Ressource
    Online-Ressource
    Boston : Academic Press
    UID:
    b3kat_BV036962584
    Umfang: 1 Online-Ressource (1 online resource (417 p.)) , ill
    Ausgabe: Online-Ausgabe Elsevier e-book collection on ScienceDirect Sonstige Standardnummer des Gesamttitels: 041169-3
    Serie: Mathematics in science and engineering v. 183
    Anmerkung: Description based on print version record
    Weitere Ausg.: Reproduktion von Nonlinear boundary value problems in science and engineering c1989
    Sprache: Englisch
    Schlagwort(e): Randwertproblem ; Nichtlineare Theorie
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  • 4
    Buch
    Buch
    Boston u.a. :Academic Press,
    UID:
    almahu_BV004626118
    Umfang: XIII, 417 S. : graph. Darst.
    ISBN: 0-12-593110-7
    Serie: Mathematics in science and engineering 183
    Anmerkung: Literaturverz. S. 393 - 410
    Sprache: Englisch
    Fachgebiete: Mathematik
    RVK:
    RVK:
    Schlagwort(e): Randwertproblem ; Nichtlineare Theorie
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 5
    Buch
    Buch
    New York [u.a.] :Acad. Press,
    UID:
    almahu_BV000029788
    Umfang: XIII, 344 S. : , graph. Darst.
    ISBN: 0-12-592850-5
    Serie: Mathematics in science and engineering 161
    Sprache: Englisch
    Fachgebiete: Mathematik
    RVK:
    Schlagwort(e): Bäcklund-Transformation ; Mathematische Physik ; Transformation ; Numerische Mathematik ; Partielle Differentialgleichung
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 6
    Buch
    Buch
    Amsterdam [u.a.] :North-Holland,
    UID:
    almafu_BV022078257
    Umfang: VIII, 459 S.
    ISBN: 0-444-87586-7
    Serie: North-Holland mathematics studies 97
    Sprache: Englisch
    Fachgebiete: Mathematik
    RVK:
    Schlagwort(e): Welle ; Wellenausbreitung ; Mathematische Methode ; Konferenzschrift ; Konferenzschrift ; Konferenzschrift
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 7
    UID:
    b3kat_BV042412512
    Umfang: 1 Online-Ressource (X, 292 p)
    ISBN: 9781489911704 , 9781489911728
    Serie: Plenum Monographs in Nonlinear Physics
    Anmerkung: The soliton represents one ofthe most important ofnonlinear phenomena in modern physics. It constitutes an essentially localizedentity with a set ofremarkable properties. Solitons are found in various areas of physics from gravitation and field theory, plasma physics, and nonlinear optics to solid state physics and hydrodynamics. Nonlinear equations which describe soliton phenomena are ubiquitous. Solitons and the equations which commonly describe them are also of great mathematical interest. Thus, the dis­ covery in 1967and subsequent development ofthe inversescattering transform method that provides the mathematical structure underlying soliton theory constitutes one of the most important developments in modern theoretical physics. The inversescattering transform method is now established as a very powerful tool in the investigation of nonlinear partial differential equations. The inverse scattering transform method, since its discoverysome two decades ago, has been applied to a great variety of nonlinear equations which arise in diverse fields of physics. These include ordinary differential equations, partial differential equations, integrodifferential, and differential-difference equations. The inverse scattering trans­ form method has allowed the investigation of these equations in a manner comparable to that of the Fourier method for linear equations
    Sprache: Englisch
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 8
    Online-Ressource
    Online-Ressource
    Amsterdam :North-Holland,
    UID:
    edocfu_9958080456402883
    Umfang: 1 online resource (469 p.)
    ISBN: 1-281-78816-3 , 9786611788162 , 0-08-087208-5
    Serie: North-Holland mathematics studies ; 97
    Inhalt: 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.
    Anmerkung: 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
    Weitere Ausg.: ISBN 0-444-87586-7
    Sprache: Englisch
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 9
    Online-Ressource
    Online-Ressource
    New York :Academic Press,
    UID:
    edocfu_9958099642902883
    Umfang: 1 online resource (349 p.)
    ISBN: 1-282-28882-2 , 9786612288821 , 0-08-095667-X
    Serie: Mathematics in science and engineering ; 161
    Inhalt: Ba?cklund transformations and their applications
    Anmerkung: 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
    Weitere Ausg.: ISBN 0-12-592850-5
    Sprache: Englisch
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 10
    Online-Ressource
    Online-Ressource
    Boston ; : Academic Press,
    UID:
    edocfu_9958099737202883
    Umfang: 1 online resource (486 p.)
    ISBN: 1-282-28986-1 , 9786612289866 , 0-08-095872-9
    Serie: Mathematics in science and engineering ; v. 185
    Inhalt: Nonlinear equations in the applied sciences
    Anmerkung: 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
    Weitere Ausg.: ISBN 0-12-056752-0
    Sprache: Englisch
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