Integrable semi-discretization of a multi-component short pulse equation

DOI10.1063/1.4916895zbMath1315.35201arXiv1504.00878OpenAlexW2121092803MaRDI QIDQ5250087

Bao-Feng Feng, Ken-Ichi Maruno, Yasuhiro Ohta

Publication date: 15 May 2015

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

Full work available at URL: https://arxiv.org/abs/1504.00878

zbMATH Keywords

hodograph transformationBäcklund transformation\(N\)-soliton solution

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Quantum optics (81V80) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Discrete version of topics in analysis (39A12) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

Related Items (13)

Darboux transformation and soliton solutions of the spatial discrete coupled complex short pulse equation ⋮ General breather and rogue wave solutions to the complex short pulse equation ⋮ On two new types of modified short pulse equation ⋮ Multi-soliton solution to the two-component Hunter-Saxton equation ⋮ Inverse scattering transform for the complex coupled short‐pulse equation ⋮ Soliton interactions and Yang–Baxter maps for the complex coupled short‐pulse equation ⋮ An integrable semidiscretization of the modified Camassa–Holm equation with linear dispersion term ⋮ Soliton dynamics to the multi-component complex coupled integrable dispersionless equation ⋮ Multi-component semi-discrete coupled dispersionless integrable system, its Lax pair and Darboux transformation ⋮ Geometric Formulation and Multi‐dark Soliton Solution to the Defocusing Complex Short Pulse Equation ⋮ Integrable discretization and numerical simulations of the generalized coupled integrable dispersionless equations ⋮ Integrable discretizations and numerical simulation for a modified coupled integrable dispersionless equation ⋮ Quasi-Grammian solutions of a multi-component short pulse equation

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