A pair of modified short pulse equations and its two-component system in nonlinear media

DOI10.1016/j.wavemoti.2020.102553OpenAlexW3015154003MaRDI QIDQ2659639

Zhaqilao

Publication date: 26 March 2021

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2020.102553

zbMATH Keywords

Darboux transformationbreather solutionloop solitonsmooth solitoncuspon solitonmodified short pulse equation

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Partial differential equations (35-XX)

Related Items (1)

Modulational instability and position controllable discrete rogue waves with interaction phenomena in the semi-discrete complex coupled dispersionless system

Uses Software

• PSEUDO

Cites Work

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• Darboux transformation and rogue wave solutions for the variable-coefficients coupled Hirota equations
• Darboux transformation and explicit solutions for two integrable equations
• Darboux transformation and soliton solutions for a three-component modified Korteweg-de Vries equation
• Reductions of Darboux transformations for the \(\mathcal{PT}\)-symmetric nonlocal Davey-Stewartson equations
• Complex short pulse and coupled complex short pulse equations
• \(N\)-fold Darboux transformation of the discrete Ragnisco-Tu system
• Darboux transformations and rogue wave solutions of a generalized AB system for the geophysical flows
• Generalizations of the short pulse equation
• Darboux transformation for a semidiscrete short-pulse equation
• Propagation of ultra-short optical pulses in cubic nonlinear media
• The interaction solitons for the complex short pulse equation
• A new nonlinear wave equation: Darboux transformation and soliton solutions
• Transformation and integrability of a generalized short pulse equation
• Localized waves for the mixed coupled Hirota equations in an optical fiber
• The bi-Hamiltonian structure of the short pulse equation
• A new lattice hierarchy: Hamiltonian structures, symplectic map and \(N\)-fold Darboux transformation
• Multi-soliton, multi-breather and higher order rogue wave solutions to the complex short pulse equation
• Integrable multi-component generalization of a modified short pulse equation
• A novel multi-component generalization of the short pulse equation and its multisoliton solutions
• Ultra-short pulses in linear and nonlinear media
• An integrable coupled short pulse equation
• The short pulse hierarchy
• Darboux transformation of the generalized coupled dispersionless integrable system
• Multi-soliton solutions and the Cauchy problem for a two-component short pulse system
• The Short Pulse Equation Is Integrable
• Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
• Solitary wave solutions of the short pulse equation

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