Integrable multi-component generalization of a modified short pulse equation

DOI10.1063/1.4967952zbMath1354.78011arXiv1607.01079OpenAlexW3098614694MaRDI QIDQ2836112

Yoshimasa Matsuno

Publication date: 7 December 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.01079

zbMATH Keywords

conservation lawLax pairbreathersshort pulse equationcusp solitons

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

Related Items (12)

Parametric solutions of the generalized short pulse equations ⋮ Long-time asymptotics for the modified complex short pulse equation ⋮ A pair of modified short pulse equations and its two-component system in nonlinear media ⋮ On two new types of modified short pulse equation ⋮ Lax representations for matrix short pulse equations ⋮ Multiple higher-order pole solutions of modified complex short pulse equation ⋮ Integrable generalizations of the sine-Gordon, short pulse, and reduced Maxwell–Bloch equations ⋮ Discontinuous Galerkin methods for short pulse type equations via hodograph transformations ⋮ Unnamed Item ⋮ Integrable discretizations and numerical simulation for a modified coupled integrable dispersionless equation ⋮ Solving the modified complex short pulse equation of focusing type: a Riemann-Hilbert approach ⋮ A modified complex short pulse equation of defocusing type

Uses Software

• PSEUDO

Cites Work

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• Solitary wave solutions of the short pulse equation

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