Soliton solutions, Bäcklund transformation and Wronskian solutions for the extended \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics
From MaRDI portal
Publication:425433
DOI10.1016/j.amc.2011.07.063zbMath1380.76007OpenAlexW2012243088MaRDI QIDQ425433
Lei Wang, De-Xin Meng, Xiao-Ling Gai, Yi-Tian Gao, Peng-Bo Xu, Yu-Jia Shen
Publication date: 8 June 2012
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.07.063
Related Items
Bifurcation analysis and solitary-like wave solutions for extended \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations, Soliton solutions of KD system using similarity transformations method, Solitons for the modified \((2 + 1)\)-dimensional Konopelchenko-Dubrovsky equations
Uses Software
Cites Work
- Soliton interaction in the coupled mixed derivative nonlinear Schrödinger equations
- Inelastic interactions of the multiple-front waves for the modified Kadomtsev-Petviashvili equation in fluid dynamics, plasma physics and electrodynamics
- Symbolic computation of the Painlevé test for nonlinear partial differential equations using Maple
- \(N\)-soliton solution and its Wronskian form of a \((3+1)\)-dimensional nonlinear evolution equation
- New exact solutions to the \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation
- A generalized \(F\)-expansion method and new exact solutions of Konopelchenko--Dubrovsky equations
- Symbolic-computation study of the perturbed nonlinear Schrödinger model in inhomogeneous optical fibers
- The periodic wave solutions for the \((2 + 1)\)-dimensional Konopelchenko-Dubrovsky equations
- Exp-function method for Riccati equation and new exact solutions with two arbitrary functions of \((2 + 1)\)-dimensional Konopelchenko-Dubrovsky equations
- Conservation laws, soliton solutions and modulational instability for the higher-order dispersive nonlinear Schrödinger equation
- Exact solutions of a generalized \((3+1)\)-dimensional Kadomtsev-Petviashvili equation using Lie symmetry analysis
- A second Wronskian formulation of the Boussinesq equation
- Explicit exact solutions for the (2 + 1)-dimensional Konopelchenko-Dubrovsky equation
- Analytic \(N\)-solitary-wave solution of a variable-coefficient Gardner equation from fluid dynamics and plasma physics
- Symmetry reductions of the Lax pair for the 2 + 1-dimensional Konopelchenko-Dubrovsky equation
- New kinks and solitons solutions to the \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation
- Analytical and numerical studies of the variable-coefficient Gardner equation
- Bäcklund transformations for finite-dimensional integrable systems: a geometric approach.
- New kinds of solutions to Gardner equation
- Symbolic computation and new families of exact soliton-like solutions of Konopelchenko-Dubrov\-sky equations
- New solitons and kink solutions for the Gardner equation
- Construction of non-travelling wave solutions for the generalized variable-coefficient Gardner equation
- Lax pair, Bäcklund transformation and \(N\)-soliton-like solution for a variable-coefficient Gardner equation from nonlinear lattice, plasma physics and ocean dynamics with symbolic computation
- Multiple-soliton solutions for the KP equation by Hirota's bilinear method and by the tanh-coth method
- Reply to: ``Comment on: `Spherical Kadomtsev-Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation' [Phys. Lett. A 361 (2007) 520]
- Interaction of Kadomtsev-Petviashvili solitons with unequal amplitudes
- On the solitonic structures of the cylindrical dust-acoustic and dust-ion-acoustic waves with symbolic computation
- Symbolic computation and new families of exact non-travelling wave solutions of \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations
- Further improved F-expansion method and new exact solutions of Konopelchenko--Dubrovsky equation
- Bifurcation of traveling wave solutions of \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations
- Explicit and exact travelling wave solutions for Konopelchenko-Dubrovsky equation
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- Lax pair and Darboux transformation for multi-component modified Korteweg–de Vries equations
- Two types of generalized integrable decompositions and new solitary-wave solutions for the modified Kadomtsev-Petviashvili equation with symbolic computation
- BrightN-soliton solutions in terms of the triple Wronskian for the coupled nonlinear Schrödinger equations in optical fibers
- Symbolic-computation study of integrable properties for the (2 + 1)-dimensional Gardner equation with the two-singular manifold method
- The Painlevé property for partial differential equations
- Painlevé Analysis, Soliton Solutions and Bäcklund Transformation for Extended (2 + 1)-Dimensional Konopelchenko—Dubrovsky Equations in Fluid Mechanics via Symbolic Computation
- An extension of the Wronskian technique for the multicomponent Wronskian solution to the vector nonlinear Schrödinger equation
- On a generalized Kadomtsev–Petviashvili equation with variable coefficients via symbolic computation
