An integrable coupled hybrid lattice and its exact solutions

DOI10.1063/1.2953412zbMath1152.81492OpenAlexW2043166287MaRDI QIDQ5504978

Man Jia, Sen-yue Lou, Ping Liu

Publication date: 23 January 2009

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

Full work available at URL: https://doi.org/10.1063/1.2953412

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Discrete version of topics in analysis (39A12) Lattice dynamics; integrable lattice equations (37K60)

Related Items (3)

Integrable discretizations and soliton solution of KdV and mKdV equations ⋮ Similarity reduction, generalized symmetries, recursion operator, and integrability of coupled Volterra system ⋮ Recursion operators and conservation laws for discrete Lax equations

Cites Work

• Nonsingular positon and complexiton solutions for the coupled KdV system
• A modified Toda spectral problem and its hierarchy of bi-Hamiltonian lattice equations
• Strong Interactions between Solitary Waves Belonging to Different Wave Modes

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