Soliton interactions of integrable models

DOI10.1016/S0960-0779(02)00576-3zbMath1030.37052MaRDI QIDQ1416254

Hang-yu Ruan, Yi-Xin Chen

Publication date: 14 December 2003

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (1)

Construction of new variable separation excitations via extended projective Riccati equation expansion method in \((2+1)\)-dimensional dispersive long wave systems

Cites Work

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• Two-dimensional Schrödinger operator: inverse scattering transform and evolutional equations
• Dromion-like structures in the \((2+1)\)-dimensional breaking soliton equation
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Painleve property and pseudopotentials for nonlinear evolution equations
• Singularity analysis and localized coherent structures in (2+1)-dimensional generalized Korteweg–de Vries equations
• Higher-dimensional dromion structures: Jimbo–Miwa–Kadomtsev–Petviashvili system
• Generalized dromion solutions of the (2+1)-dimensional KdV equation
• The study of dromion interactions of (2+1)-dimensional integrable systems
• A wave equation in 2+1: Painleve analysis and solutions

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