Book contents
- Frontmatter
- Dedication
- Contents
- 1 Introduction
- 2 Hamiltonian ODEs and Relative Equilibria
- 3 Modulation of Relative Equilibria
- 4 Revised Modulation Near a Singularity
- 5 Whitham Modulation Theory – the Lagrangian Viewpoint
- 6 From Lagrangians to Multisymplectic PDEs
- 7 Whitham Modulation Theory – the Multisymplectic Viewpoint
- 8 Phase Modulation and the KdV Equation
- 9 Classical View of KdV in Shallow Water
- 10 Phase Modulation of Uniform Flows and KdV
- 11 Generic Whitham Modulation Theory in 2+1
- 12 Phase Modulation in 2+1 and the KP Equation
- 13 Shallow Water Hydrodynamics and KP
- 14 Modulation of Three-Dimensional Water Waves
- 15 Modulation and Planforms
- 16 Validity of Lagrangian-based Modulation Equations
- 17 Non-conservative PDEs and Modulation
- 18 Phase Modulation: Extensions and Generalizations
- Appendix A Supporting Calculations: Fourth- and Fifth-Order Terms
- Appendix B Derivatives of a Family of Relative Equilibria
- Appendix C Bk and the Spectral Problem
- Appendix D Reducing Dispersive Conservation Laws to KdV
- Appendix E Advanced Topics in Multisymplecticity
- References
- Index
- References
References
Published online by Cambridge University Press: 30 June 2017
Book contents
- Frontmatter
- Dedication
- Contents
- 1 Introduction
- 2 Hamiltonian ODEs and Relative Equilibria
- 3 Modulation of Relative Equilibria
- 4 Revised Modulation Near a Singularity
- 5 Whitham Modulation Theory – the Lagrangian Viewpoint
- 6 From Lagrangians to Multisymplectic PDEs
- 7 Whitham Modulation Theory – the Multisymplectic Viewpoint
- 8 Phase Modulation and the KdV Equation
- 9 Classical View of KdV in Shallow Water
- 10 Phase Modulation of Uniform Flows and KdV
- 11 Generic Whitham Modulation Theory in 2+1
- 12 Phase Modulation in 2+1 and the KP Equation
- 13 Shallow Water Hydrodynamics and KP
- 14 Modulation of Three-Dimensional Water Waves
- 15 Modulation and Planforms
- 16 Validity of Lagrangian-based Modulation Equations
- 17 Non-conservative PDEs and Modulation
- 18 Phase Modulation: Extensions and Generalizations
- Appendix A Supporting Calculations: Fourth- and Fifth-Order Terms
- Appendix B Derivatives of a Family of Relative Equilibria
- Appendix C Bk and the Spectral Problem
- Appendix D Reducing Dispersive Conservation Laws to KdV
- Appendix E Advanced Topics in Multisymplecticity
- References
- Index
- References
- Type
- Chapter
- Information
- Symmetry, Phase Modulation and Nonlinear Waves , pp. 216 - 225Publisher: Cambridge University PressPrint publication year: 2017
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