Painlevé integrable property, bilinear form, Bäcklund transformation, kink and soliton solutions of a \((2+1)\)-dimensional variable-coefficient general combined fourth-order soliton equation in a fluid or plasma
DOI10.11948/20230056MaRDI QIDQ6615261
Cheng-Cheng Wei, Dan-Yu Yang, Qi-Xing Qu, Yu-Qi Chen, Bo Tian
Publication date: 8 October 2024
Published in: Journal of Applied Analysis and Computation (Search for Journal in Brave)
bilinear formfluid or plasmasoliton and kink solutions\((2+1)\)-dimensional variable-coefficient general combined fourth-order soliton equationPainlevé integrable property
Nonlinear higher-order PDEs (35G20) Forms (bilinear, sesquilinear, multilinear) (47A07) Soliton solutions (35C08)
Cites Work
- Painlevé integrability, similarity reductions, new soliton and soliton-like similarity solutions for the \((2+1)\)-dimensional BKP equation
- Maple packages for computing Hirota's bilinear equation and multisoliton solutions of nonlinear evolution equations
- An improved Hirota bilinear method and new application for a nonlocal integrable complex modified Korteweg-de Vries (MKdV) equation
- Exact solutions to KdV equations with variable coefficients and/or nonuniformities
- Soliton solutions of BLMP equation by Lie symmetry approach
- Lump solutions to a generalized Bogoyavlensky-Konopelchenko equation
- Generalized Darboux transformation and solitons for the Ablowitz-Ladik equation in an electrical lattice
- Attosecond soliton switching through the interactions of two and three solitons in an inhomogeneous fiber
- High-order lumps, high-order breathers and hybrid solutions for an extended \((3+1)\)-dimensional Jimbo-Miwa equation in fluid dynamics
- Lump and lump-soliton solutions to the Hirota-Satsuma-Ito equation
- On explicit exact solutions and conservation laws for time fractional variable -- coefficient coupled Burger's equations
- Lie group analysis for a higher-order Boussinesq-Burgers system
- Shallow ocean soliton and localized waves in extended \((2 + 1)\)-dimensional nonlinear evolution equations
- A Maple Package on Symbolic Computation of Hirota Bilinear Form for Nonlinear Equations
- Some traveling wave solutions to the generalized (3 + 1)‐dimensional Korteweg–de Vries–Zakharov–Kuznetsov equation in plasma physics
- Interaction of two soliton waves in plasma including electrons with Kappa-Cairns distribution function
- Considering the wave processes in oceanography, acoustics and hydrodynamics by means of an extended coupled (2+1)-dimensional Burgers system
This page was built for publication: Painlevé integrable property, bilinear form, Bäcklund transformation, kink and soliton solutions of a \((2+1)\)-dimensional variable-coefficient general combined fourth-order soliton equation in a fluid or plasma
