Combined wave solutions of the \((2+1)\)-dimensional generalized Nizhnik-Novikov-Veselov system

DOI10.1016/J.PHYSLETA.2007.05.120zbMath1220.81082OpenAlexW1975042794MaRDI QIDQ637129

Chao-Qing Dai, Yue-Yue Wang

Publication date: 2 September 2011

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.05.120

zbMATH Keywords

combined wave solutionsGNNV systemimproved mapping method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Soliton equations (35Q51) Software, source code, etc. for problems pertaining to partial differential equations (35-04)

Related Items (10)

Conservation laws, Lie symmetry and Painlevé analysis of the variable coefficients NNV equation ⋮ Novel soliton interaction behaviours in the \((2+1)\)-dimensional asymmetric Nizhnik-Novikov-Veselov system ⋮ Bifurcations of traveling wave solutions for the \((2+1)\)-dimensional generalized asymmetric Nizhnik-Novikov-Veselov equation ⋮ Novel interacting phenomena in (2+1) dimensional AKNS system ⋮ Special solitonic localized structures for the \((3 + 1)\)-dimensional Burgers equation in water waves ⋮ New variable separation solutions of two-dimensional Burgers system ⋮ Interaction behaviors between solitons for the \((2+1)\)-dimensional long wave short wave interaction model ⋮ Riemann theta functions periodic wave solutions and rational characteristics for the nonlinear equations ⋮ New variable separation solutions of the \((2+1)\)-dimensional asymmetric Nizhnik-Novikov-Veselov system ⋮ THE RATIONAL SOLUTIONS TO A GENERALIZED RICCATI EQUATION AND THEIR APPLICATION

Cites Work

• Exotic interactions between solitons of the \((2+1)\)-dimensional KdV equation
• Exactly solvable supersymmetric quantum mechanics
• Exotic localized structures based on variable separation solution of \((2+1)\)-dimensional KdV equation via the extended tanh-function method
• Novel types of interactions between solitons in the \((2+1)\)-dimensional asymmetric Nizhnik-Novikov-Veselov system
• A class of doubly periodic wave solutions for the generalized Nizhnik-Novikov-Veselov equation
• Nonpropagating solitary waves in \((2+1)\)-dimensional generalized dispersive long wave systems
• Exact Solution to (1+1)-Dimensional Higher-Order Schrödinger Equation via an Extended Mapping Approach
• Periodic and localized solutions of the long wave–short wave resonance interaction equation
• NEW TYPES OF INTERACTIONS BASED ON VARIABLE SEPARATION SOLUTIONS VIA THE GENERAL PROJECTIVE RICCATI EQUATION METHOD
• Novel variable separation solutions and exotic localized excitations via the ETM in nonlinear soliton systems
• Compactons: Solitons with finite wavelength
• On the spectral transform of a Korteweg-de Vries equation in two spatial dimensions

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