POSITON, NEGATON, SOLITON AND COMPLEXITON SOLUTIONS TO A FOUR-DIMENSIONAL NONLINEAR EVOLUTION EQUATION
From MaRDI portal
Publication:3400965
DOI10.1142/S0217984909021053zbMath1179.37100OpenAlexW1973667349MaRDI QIDQ3400965
Publication date: 28 January 2010
Published in: Modern Physics Letters B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0217984909021053
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
Related Items
Resonant multiple wave solutions for a \((3+1)\)-dimensional nonlinear evolution equation by linear superposition principle ⋮ An efficient algorithm to construct multi-soliton rational solutions of the \((2+ 1)\)-dimensional KdV equation with variable coefficients ⋮ M-lump solutions to a \((3+1)\)-dimensional nonlinear evolution equation ⋮ Rogue waves of a \((3+1)\)-dimensional nonlinear evolution equation ⋮ New multi-soliton solutions of a \((3+1)\)-dimensional nonlinear evolution equation ⋮ Rogue waves, breather waves and solitary waves for a (3+1)-dimensional nonlinear evolution equation ⋮ Diversity of exact solutions to a (3 + 1)-dimensional nonlinear evolution equation and its reduction ⋮ Bilinear form and solutions of a (3+1)-dimensional generalized nonlinear evolution equation for the shallow-water waves
Cites Work
- \(N\)-soliton solution and its Wronskian form of a \((3+1)\)-dimensional nonlinear evolution equation
- Complexiton solutions to integrable equations
- Bidirectional soliton solutions of the classical Boussinesq system and AKNS system.
- Wronskians, generalized Wronskians and solutions to the Korteweg-de Vries equation
- Complexiton solutions to the Korteweg-de Vries equation
- Wronskian solutions of the Boussinesq equation—solitons, negatons, positons and complexitons
- On a new Darboux transformation for the construction of exact solutions of the Schrodinger equation
- THE DOUBLE WRONSKIAN SOLUTIONS TO THE KADOMTSET–PETVIASHVILI EQUATION
- DARBOUX TRANSFORMATION AND VARIOUS SOLUTIONS FOR A NONLINEAR EVOLUTION EQUATION IN (3 + 1)-DIMENSIONS
- Algebraic-geometrical solutions of some multidimensional nonlinear evolution equations
- Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions