Solitons for the modified \((2 + 1)\)-dimensional Konopelchenko-Dubrovsky equations
DOI10.1186/s13662-019-2370-3zbMath1485.35335OpenAlexW2980553567MaRDI QIDQ2114069
Publication date: 14 March 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-019-2370-3
solitonsJacobi elliptic function solutionsauxiliary equation approachdegenerated triangle function solutionsmodified Konopelchenko-Dubrovsky equations
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)
Uses Software
Cites Work
- The compact and Crank-Nicolson ADI schemes for two-dimensional semilinear multidelay parabolic equations
- Long time behavior of solutions of gKdV equations
- Soliton solutions, Bäcklund transformation and Wronskian solutions for the extended \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics
- Construction of \(N\)-soliton solutions to (2 + 1)-dimensional Konopelchenko-Dubrovsky (KD) equations
- Application of Exp-function method for \((2 + 1)\)-dimensional nonlinear evolution equations
- The periodic wave solutions for the \((2 + 1)\)-dimensional Konopelchenko-Dubrovsky equations
- Explicit exact solutions for the (2 + 1)-dimensional Konopelchenko-Dubrovsky equation
- New kinks and solitons solutions to the \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation
- Internal solitary waves in the ocean: analysis using the periodic, inverse scattering transform
- Solitons for the (2+1)-dimensional Konopelchenko-Dubrovsky equations
- Bäcklund transformations, rational solutions and soliton-cnoidal wave solutions of the modified Kadomtsev-Petviashvili equation
- Auto-Bäcklund transformations for a matrix partial differential equation
- A two-level linearized compact ADI scheme for two-dimensional nonlinear reaction-diffusion equations
- Similarity solutions of the Konopelchenko-Dubrovsky system using Lie group theory
- A novel compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equations
- The study of the solution to a generalized KdV-mKdV equation
- Lump waves, solitary waves and interaction phenomena to the \((2 + 1)\)-dimensional Konopelchenko-Dubrovsky equation
- Linearized Galerkin FEMs for nonlinear time fractional parabolic problems with non-smooth solutions in time direction
- Complexiton and resonant multiple wave solutions to the \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation
- Trial equation method for solving the generalized Fisher equation with variable coefficients
- The Jacobi elliptic function solutions to a generalized Benjamin-Bona-Mahony equation
- Soliton solutions of an integrable nonlocal modified Korteweg-de Vries equation through inverse scattering transform
- On the KZ Reduction
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