Nonlinear Waves & Hamiltonian Systems
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portes grátis
Nonlinear Waves & Hamiltonian Systems
From One To Many Degrees of Freedom, From Discrete To Continuum
Frantzeskakis, Dimitrios J.; Carretero-Gonzalez, Ricardo; Kevrekidis, Panayotis G.
Oxford University Press
11/2024
560
Dura
9780192843234
15 a 20 dias
Descrição não disponível.
PART I - INTRODUCTION AND MOTIVATION OF MODELS
1: Introduction and Motivation
2: Linear Dispersive Wave Equations
3: Nonlinear Dispersive Wave Equations
PART II - KORTEWEG-DE VRIES (KDV) EQUATION
4: The Korteweg-de Vries (KdV) Equation
5: From Boussinesq to KdV - Boussinesq Solitons as KdV Solitons
6: Traveling Wave Reduction, Elliptic Functions, and Connections to KdV
7: Burgers and KdV-Burgers (KdVB) Equations - Regularized ShockWaves
8: A Final Touch From KdV: Invariances and Self-Similar Solutions
9: Spectral Methods
10: Baecklund Transformation for the KdV
11: Inverse Scattering Transform I - the KdV equation*
12: Direct Perturbation Theory for Solitons*
13: The Kadomtsev-Petviashvili Equation*
PART III - KLEIN-GORDON, SINE-GORDON, AND PHI-4 MODELS
14: Another Class of Models: Nonlinear Klein-Gordon Equations
15: Additional Tools/Results for Klein-Gordon Equations
16: Klein-Gordon to NLS Connection - Breathers as NLS Solitons
17: Interlude: Numerical Considerations for Nonlinear Wave Equations
PART IV - THE NONLINEAR SCHROEDINGER EQUATIONS
18: The Nonlinear Schroedinger (NLS) Equation
19: NLS to KdV Connection - Dark Solitons as KdV Solitons
20: Actions, Symmetries, Conservation Laws, Noether's Theorem, and all that
21: Applications of Conservation Laws - Adiabatic Perturbation Method
22: Numerical Techniques for NLS
23: Inverse Scattering Transform II - the NLS Equation*
24: The Gross-Pitaevskii (GP) Equation
25: Variational Approximation for the NLS and GP Equations
26: Stability Analysis in 1D
27: Multi-Component Systems
28: Transverse Instability of Solitons Stripes - Perturbative Approach
29: Transverse Instability of Dark Stripes - Adiabatic Invariant Approach
30: Vortices in the 2D Defocusing NLS
PART V - DISCRETE MODELS
31: The Discrete Klein-Gordon model
32: Discrete Models of the Nonlinear Schroedinger Type
33: From Toda to FPUT and Beyond
1: Introduction and Motivation
2: Linear Dispersive Wave Equations
3: Nonlinear Dispersive Wave Equations
PART II - KORTEWEG-DE VRIES (KDV) EQUATION
4: The Korteweg-de Vries (KdV) Equation
5: From Boussinesq to KdV - Boussinesq Solitons as KdV Solitons
6: Traveling Wave Reduction, Elliptic Functions, and Connections to KdV
7: Burgers and KdV-Burgers (KdVB) Equations - Regularized ShockWaves
8: A Final Touch From KdV: Invariances and Self-Similar Solutions
9: Spectral Methods
10: Baecklund Transformation for the KdV
11: Inverse Scattering Transform I - the KdV equation*
12: Direct Perturbation Theory for Solitons*
13: The Kadomtsev-Petviashvili Equation*
PART III - KLEIN-GORDON, SINE-GORDON, AND PHI-4 MODELS
14: Another Class of Models: Nonlinear Klein-Gordon Equations
15: Additional Tools/Results for Klein-Gordon Equations
16: Klein-Gordon to NLS Connection - Breathers as NLS Solitons
17: Interlude: Numerical Considerations for Nonlinear Wave Equations
PART IV - THE NONLINEAR SCHROEDINGER EQUATIONS
18: The Nonlinear Schroedinger (NLS) Equation
19: NLS to KdV Connection - Dark Solitons as KdV Solitons
20: Actions, Symmetries, Conservation Laws, Noether's Theorem, and all that
21: Applications of Conservation Laws - Adiabatic Perturbation Method
22: Numerical Techniques for NLS
23: Inverse Scattering Transform II - the NLS Equation*
24: The Gross-Pitaevskii (GP) Equation
25: Variational Approximation for the NLS and GP Equations
26: Stability Analysis in 1D
27: Multi-Component Systems
28: Transverse Instability of Solitons Stripes - Perturbative Approach
29: Transverse Instability of Dark Stripes - Adiabatic Invariant Approach
30: Vortices in the 2D Defocusing NLS
PART V - DISCRETE MODELS
31: The Discrete Klein-Gordon model
32: Discrete Models of the Nonlinear Schroedinger Type
33: From Toda to FPUT and Beyond
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
PART I - INTRODUCTION AND MOTIVATION OF MODELS
1: Introduction and Motivation
2: Linear Dispersive Wave Equations
3: Nonlinear Dispersive Wave Equations
PART II - KORTEWEG-DE VRIES (KDV) EQUATION
4: The Korteweg-de Vries (KdV) Equation
5: From Boussinesq to KdV - Boussinesq Solitons as KdV Solitons
6: Traveling Wave Reduction, Elliptic Functions, and Connections to KdV
7: Burgers and KdV-Burgers (KdVB) Equations - Regularized ShockWaves
8: A Final Touch From KdV: Invariances and Self-Similar Solutions
9: Spectral Methods
10: Baecklund Transformation for the KdV
11: Inverse Scattering Transform I - the KdV equation*
12: Direct Perturbation Theory for Solitons*
13: The Kadomtsev-Petviashvili Equation*
PART III - KLEIN-GORDON, SINE-GORDON, AND PHI-4 MODELS
14: Another Class of Models: Nonlinear Klein-Gordon Equations
15: Additional Tools/Results for Klein-Gordon Equations
16: Klein-Gordon to NLS Connection - Breathers as NLS Solitons
17: Interlude: Numerical Considerations for Nonlinear Wave Equations
PART IV - THE NONLINEAR SCHROEDINGER EQUATIONS
18: The Nonlinear Schroedinger (NLS) Equation
19: NLS to KdV Connection - Dark Solitons as KdV Solitons
20: Actions, Symmetries, Conservation Laws, Noether's Theorem, and all that
21: Applications of Conservation Laws - Adiabatic Perturbation Method
22: Numerical Techniques for NLS
23: Inverse Scattering Transform II - the NLS Equation*
24: The Gross-Pitaevskii (GP) Equation
25: Variational Approximation for the NLS and GP Equations
26: Stability Analysis in 1D
27: Multi-Component Systems
28: Transverse Instability of Solitons Stripes - Perturbative Approach
29: Transverse Instability of Dark Stripes - Adiabatic Invariant Approach
30: Vortices in the 2D Defocusing NLS
PART V - DISCRETE MODELS
31: The Discrete Klein-Gordon model
32: Discrete Models of the Nonlinear Schroedinger Type
33: From Toda to FPUT and Beyond
1: Introduction and Motivation
2: Linear Dispersive Wave Equations
3: Nonlinear Dispersive Wave Equations
PART II - KORTEWEG-DE VRIES (KDV) EQUATION
4: The Korteweg-de Vries (KdV) Equation
5: From Boussinesq to KdV - Boussinesq Solitons as KdV Solitons
6: Traveling Wave Reduction, Elliptic Functions, and Connections to KdV
7: Burgers and KdV-Burgers (KdVB) Equations - Regularized ShockWaves
8: A Final Touch From KdV: Invariances and Self-Similar Solutions
9: Spectral Methods
10: Baecklund Transformation for the KdV
11: Inverse Scattering Transform I - the KdV equation*
12: Direct Perturbation Theory for Solitons*
13: The Kadomtsev-Petviashvili Equation*
PART III - KLEIN-GORDON, SINE-GORDON, AND PHI-4 MODELS
14: Another Class of Models: Nonlinear Klein-Gordon Equations
15: Additional Tools/Results for Klein-Gordon Equations
16: Klein-Gordon to NLS Connection - Breathers as NLS Solitons
17: Interlude: Numerical Considerations for Nonlinear Wave Equations
PART IV - THE NONLINEAR SCHROEDINGER EQUATIONS
18: The Nonlinear Schroedinger (NLS) Equation
19: NLS to KdV Connection - Dark Solitons as KdV Solitons
20: Actions, Symmetries, Conservation Laws, Noether's Theorem, and all that
21: Applications of Conservation Laws - Adiabatic Perturbation Method
22: Numerical Techniques for NLS
23: Inverse Scattering Transform II - the NLS Equation*
24: The Gross-Pitaevskii (GP) Equation
25: Variational Approximation for the NLS and GP Equations
26: Stability Analysis in 1D
27: Multi-Component Systems
28: Transverse Instability of Solitons Stripes - Perturbative Approach
29: Transverse Instability of Dark Stripes - Adiabatic Invariant Approach
30: Vortices in the 2D Defocusing NLS
PART V - DISCRETE MODELS
31: The Discrete Klein-Gordon model
32: Discrete Models of the Nonlinear Schroedinger Type
33: From Toda to FPUT and Beyond
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
