Breathers and limit solutions of the nonlinear lumped self-dual network equation

DOI10.1016/j.physleta.2009.07.004zbMath1233.35196OpenAlexW2126780385MaRDI QIDQ665315

Jing Zhou, Song-Lin Zhao, Da-jun Zhang

Publication date: 5 March 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2009.07.004

zbMATH Keywords

breathersbilinear Bäcklund transformationlimit solutionsCasoratian solutionnonlinear lumped self-dual network equation

Mathematics Subject Classification ID

Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (5)

Solutions to the modified Korteweg–de Vries equation ⋮ Rational solutions for the potential nonlinear lumped self-dual network equation ⋮ Nonlinear self-dual network equations: modulation instability, interactions of higher-order discrete vector rational solitons and dynamical behaviours ⋮ Nonlinear periodic waves solutions of the nonlinear self-dual network equations ⋮ Algebro-geometric Constructions of Quasi Periodic Flows of the Discrete Self-dual Network Hierarchy and Applications

Cites Work

• Unnamed Item
• Unnamed Item
• Soliton solution of three differential-difference equations in Wronskian form
• Rational solutions of the Toda lattice equation in Casoratian form
• Singular solutions in Casoratian form for two differential-difference equations
• A Note on Casoratian Solutions to Two-Dimensional Toda Lattice
• Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions
• Generalized Casorati Determinant and Positon–Negaton-Type Solutions of the Toda Lattice Equation

This page was built for publication: Breathers and limit solutions of the nonlinear lumped self-dual network equation