Two systems of two-component integrable equations: multiple soliton solutions and multiple singular soliton solutions
From MaRDI portal
Publication:1002296
DOI10.1016/j.amc.2008.10.052zbMath1159.35433OpenAlexW1973685506MaRDI QIDQ1002296
Publication date: 25 February 2009
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2008.10.052
integrable systemsCole-Hopf transformationHirota bilinear methodmultiple soliton solutionssingular soliton solutions
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Symbolic methods to construct exact solutions of nonlinear partial differential equations
- The Hirota's direct method and the tanh-coth method for multiple-soliton solutions of the Sawada-Kotera-Ito seventh-order equation
- Multiple-front solutions for the Burgers-Kadomtsev-Petviashvili equation
- Solitary wave solutions of the generalized shallow water wave (GSWW) equation by Hirota's method, tanh-coth method and exp-function method
- Multiple-soliton solutions for the Lax-Kadomtsev-Petviashvili (Lax-KP) equation
- The Hirota's direct method for multiple-soliton solutions for three model equations of shallow water waves
- Multiple-soliton solutions of two extended model equations for shallow water waves
- Multiple-soliton solutions for the Boussinesq equation
- On integrable coupled Burgers-type equations
- The tanh method: A tool for solving certain classes of nonlinear evolution and wave equations.
- New solitons and kink solutions for the Gardner equation
- Single and multiple-soliton solutions for the \((2+1)\)-dimensional KdV equation
- Solitons and singular solitons for the Gardner-KP equation
- Regular soliton solutions and singular soliton solutions for the modified Kadomtsev-Petviashvili equations
- Multiple-soliton solutions for the KP equation by Hirota's bilinear method and by the tanh-coth method
- Multiple-front solutions for the Burgers equation and the coupled Burgers equations
- Classification of certain integrable coupled potential KdV and modified KdV-type equations
- Bäcklund transformation and special solutions for the Drinfeld-Sokolov-Satsuma-Hirota system of coupled equations
- N-Soliton Solutions of Model Equations for Shallow Water Waves
- An Extension of Nonlinear Evolution Equations of the K-dV (mK-dV) Type to Higher Orders
- Solitary wave solutions of nonlinear wave equations
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- A New Form of Backlund Transformations and Its Relation to the Inverse Scattering Problem
- A search for bilinear equations passing Hirota’s three-soliton condition. I. KdV-type bilinear equations
- A search for bilinear equations passing Hirota’s three-soliton condition. II. mKdV-type bilinear equations
- The tanh method: II. Perturbation technique for conservative systems
- The tanh method: I. Exact solutions of nonlinear evolution and wave equations
- Towards the complete classification of homogeneous two-component integrable equations
- A new integrable generalization of the Korteweg–de Vries equation
- On computer-assisted classification of coupled integrable equations
This page was built for publication: Two systems of two-component integrable equations: multiple soliton solutions and multiple singular soliton solutions