Dispersive shock wave structure analysis for the defocusing Lakshmanan-Porsezian-Daniel equation

DOI10.1016/J.AML.2024.109044zbMATH Open1547.35645MaRDI QIDQ6549105

Yan Zhang, Hui-Qin Hao

Publication date: 3 June 2024

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

Riemann invariantdispersive shock waveWhitham modulation theorydefocusing Lakshmanan-Porsezian-Daniel equationfinite-gap integration theory

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Periodic solutions to PDEs (35B10) NLS equations (nonlinear Schrödinger equations) (35Q55) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Periodic solutions and Whitham modulation equations for the Lakshmanan-Porsezian-Daniel equation
• Periodic propagation of complex-valued hyperbolic-cosine-Gaussian solitons and breathers with complicated light field structure in strongly nonlocal nonlinear media
• Multiphase averaging and the inverse spectral solution of the Korteweg—de Vries equation
• The Riemann theta function solutions for the hierarchy of Bogoyavlensky lattices
• A general approach to linear and non-linear dispersive waves using a Lagrangian
• Finite genus solutions of the generalized Merola–Ragnisco–Tu lattice hierarchy

This page was built for publication: Dispersive shock wave structure analysis for the defocusing Lakshmanan-Porsezian-Daniel equation

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6549105)