A direct approach to the model of few‐optical‐cycle solitons beyond the slowly varying envelope approximation

DOI10.1002/mma.8996zbMath1527.35337MaRDI QIDQ6179841

Unnamed Author, Da-jun Zhang, Aye Aye Cho

Publication date: 18 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

classification of solutionsbreathersoliton moleculeCauchy matrix approachmKdV-sG equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Lattice dynamics; integrable lattice equations (37K60)

Related Items (1)

Discretization of the modified Korteweg-de Vries-sine Gordon equation

Cites Work

• On the Bäcklund transformations for the generalized hierarchies of compound MKdV-SG equations
• Cauchy matrix approach to integrable equations with self-consistent sources and the Yajima-Oikawa system
• A revisit to the ABS H2 equation
• Bäcklund Transformation for Equation of Motion for Nonlinear Lattice under Weak Dislocation Potential
• Solutions to the modified Korteweg–de Vries equation
• Solutions to ABS Lattice Equations via Generalized Cauchy Matrix Approach
• On Equations Which Describe Pseudospherical Surfaces
• Soliton solutions for ABS lattice equations: I. Cauchy matrix approach
• The Sylvester equation and integrable equations: I. The Korteweg-de Vries system and sine-Gordon equation
• A discrete negative AKNS equation: generalized Cauchy matrix approach
• The Novel Multi-Soliton Solutions of the MKdV–Sine Gordon Equations
• New breather solutions of the model describing few-optical-cycle solitons beyond the slowly varying envelope approximation

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