Rational solutions for a \((2+1)\)-dimensional nonlinear model in water waves generated by the Jaulent-Miodek hierarchy
DOI10.1016/j.camwa.2016.08.023zbMath1372.35253OpenAlexW2549004771MaRDI QIDQ2012736
Chen Zhao, Yu-Jie Feng, Jin-Wei Yang, Yi-Tian Gao, Chuan-Qi Su
Publication date: 3 August 2017
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2016.08.023
rational solutionsnonlinear evolution equationPfaffianHirota's bilinear methodJaulent-Miodek hierarchynonlinear water waves
PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)
Cites Work
- Unnamed Item
- Unnamed Item
- Solitons and bilinear Bäcklund transformations for a \((3 + 1)\)-dimensional Yu-Toda-Sasa-Fukuyama equation in a liquid or lattice
- Breather interactions and higher-order nonautonomous rogue waves for the inhomogeneous nonlinear Schrödinger Maxwell-Bloch equations
- Spatiotemporal Hermite-Gaussian solitons of a (3 + 1)-dimensional partially nonlocal nonlinear Schrödinger equation
- Multi-soliton and Pfaffian solutions of a \((2+1)\)-dimensional nonlinear evolution equation via the Jaulent-Miodek hierarchy
- Soliton solutions and Bäcklund transformations of a (2+1)-dimensional nonlinear evolution equation via the Jaulent-Miodek hierarchy
- N-soliton solution, generalized double Wronskian determinant solution and rational solution for a (2+1)-dimensional nonlinear evolution equation
- \(N\)-soliton solution and its Wronskian form of a \((3+1)\)-dimensional nonlinear evolution equation
- Nonlinear evolution equations associated with energy-dependent Schrödinger potentials
- An \(r\)-matrix approach to nonstandard classes of integrable equations
- Evolution of solitary waves in multicomponent plasmas
- Modified Kadomtsev-Petviashvili (MKP) equation and electromagnetic soliton
- Symbolic computation and new families of exact soliton-like solutions of Konopelchenko-Dubrov\-sky equations
- Rational solutions to an extended Kadomtsev-Petviashvili-like equation with symbolic computation
- Conservation laws, bilinear Bäcklund transformations and solitons for a nonautonomous nonlinear Schrödinger equation with external potentials
- Exact solutions for a Wick-type stochastic reaction Duffing equation
- Two spatial dimensional N-rogue waves and their dynamics in Mel'nikov equation
- Quasi-periodic solutions for some (2 + 1)-dimensional integrable models generated by the Jaulent-Miodek hierarchy
- Modified Kadomtsev–Petviashvili Equation in (3+1) Dimensions: Multiple Front-Wave Solutions
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- Algebraic-geometrical solutions of some multidimensional nonlinear evolution equations
- General rogue waves in the focusing and defocusing Ablowitz–Ladik equations
- General high-order rogue waves and their dynamics in the nonlinear Schrödinger equation
- A soliton on a vortex filament
- Wave group dynamics in weakly nonlinear long-wave models
This page was built for publication: Rational solutions for a \((2+1)\)-dimensional nonlinear model in water waves generated by the Jaulent-Miodek hierarchy