Bifurcation of traveling wave solutions for \((2+1)\)-dimensional nonlinear models generated by the Jaulent-Miodek hierarchy
DOI10.1155/2015/820916zbMath1356.35197OpenAlexW1523953916WikidataQ59101434 ScholiaQ59101434MaRDI QIDQ2520513
Xin Li, Yanping Ran, Jing Li, Zheng Tian
Publication date: 13 December 2016
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2015/820916
traveling wavesperiodic wave solutionssolitary wave solutionsJaulent-Miodek hierarchybifurcation methodkink (antikink) wave solutions
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Periodic solutions to PDEs (35B10) Soliton equations (35Q51) Bifurcations in context of PDEs (35B32) Traveling wave solutions (35C07)
Cites Work
- Unnamed Item
- Unnamed Item
- Multiple kink solutions and multiple singular kink solutions for (2+1)-dimensional nonlinear models generated by the Jaulent-Miodek hierarchy
- Symbolic methods to construct exact solutions of nonlinear partial differential equations
- Multiple soliton solutions for some (3+1)-dimensional nonlinear models generated by the Jaulent-Miodek hierarchy
- \(N\)-soliton solution and its Wronskian form of a \((3+1)\)-dimensional nonlinear evolution equation
- Partial differential equations and solitary waves theory
- Bifurcation of travelling wave solutions for a \((2+1)\)-dimensional nonlinear dispersive long wave equation
- Symmetry reductions and exact solutions of the \((2+1)\)-dimensional Jaulent-Miodek equation
- Quasi-periodic solutions for some (2 + 1)-dimensional integrable models generated by the Jaulent-Miodek hierarchy
- ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS (II): AN EXAMPLE OF GCKdV EQUATIONS
- EXACT TRAVELING WAVE SOLUTIONS AND THEIR BIFURCATIONS FOR THE KUDRYASHOV–SINELSHCHIKOV EQUATION
This page was built for publication: Bifurcation of traveling wave solutions for \((2+1)\)-dimensional nonlinear models generated by the Jaulent-Miodek hierarchy