Overtaking collisions of \(m\) shock waves and interactions of \(n(n\to\infty)\)-lump, \(m(m\to\infty)\)-solitons, \(\tau(\tau\to\infty)\)-periodic waves solutions to a generalized (2+1)-dimensional new KdV model

Partial differential equations of mathematical physics and other areas of application (35Qxx) Representations of solutions to partial differential equations (35Cxx) Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems (37Kxx)

Cites Work

Unnamed Item
Unnamed Item
Multiple kink solutions for two coupled integrable (2+1)-dimensional systems
Integrability of a coupled KdV system: Painlevé property, Lax pair and Bäcklund transformation
Exact three-wave solutions for the KP equation
1-soliton solution of the coupled KdV equation and Gear-Grimshaw model
Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
Multiple soliton solutions for the new \((2 + 1)\)-dimensional Korteweg-de Vries equation by multiple \(\exp\)-function method
Breathing-soliton and singular rogue wave solutions for a discrete nonlocal coupled Ablowitz-Ladik equation of reverse-space type
Soliton, breather, lump and their interaction solutions of the \((2+1)\)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation
Evolution of breathers and interaction between high-order lump solutions and \(N\)-solitons (\(N \rightarrow \infty\)) for breaking soliton system
\(N\)-soliton solutions and elastic interaction of the coupled lattice soliton equations for nonlinear waves
Dynamics of discrete soliton propagation and elastic interaction in a higher-order coupled Ablowitz-Ladik equation
Evolutionary behavior of breathers and interaction solutions with \(M\)-solitons for \((2 + 1)\)-dimensional KdV system
Single and multiple-soliton solutions for the \((2+1)\)-dimensional KdV equation
An efficient algorithm to construct multi-soliton rational solutions of the \((2+ 1)\)-dimensional KdV equation with variable coefficients
Lie symmetry analysis and Painlevé analysis of the new \((2+1)\)-dimensional KdV equation
Solitons and rational solutions of nonlinear evolution equations
Exact periodic cross-kink wave solutions for the new (2+1)-dimensional KdV equation in fluid flows and plasma physics
Nonlinear self-dual network equations: modulation instability, interactions of higher-order discrete vector rational solitons and dynamical behaviours
New Exact Periodic Solitary-Wave Solutions for New (2+1)-Dimensional KdV Equation
Linear superposition of Wronskian rational solutions to the KdV equation

This page was built for publication: Overtaking collisions of \(m\) shock waves and interactions of \(n(n\to\infty)\)-lump, \(m(m\to\infty)\)-solitons, \(\tau(\tau\to\infty)\)-periodic waves solutions to a generalized (2+1)-dimensional new KdV model