New traveling wave solutions to AKNS and SKdV equations
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Publication:603484
DOI10.1016/J.CHAOS.2009.01.023zbMath1198.81098OpenAlexW1967761028MaRDI QIDQ603484
Publication date: 7 November 2010
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2009.01.023
Related Items (8)
Complex solitons in the conformable \((2+1)\)-dimensional Ablowitz-Kaup-Newell-Segur equation ⋮ ON THE COMPLEX MIXED DARK-BRIGHT WAVE DISTRIBUTIONS TO SOME CONFORMABLE NONLINEAR INTEGRABLE MODELS ⋮ CRE solvability and soliton-cnoidal wave interaction solutions of the dissipative \((2+1)\)-dimensional AKNS equation ⋮ Group invariant solutions and conservation laws of \((2+1)\)-dimensional AKNS equation ⋮ Dynamical analysis of diversity lump solutions to the (2+1)-dimensional dissipative Ablowitz–Kaup–Newell–Segure equation ⋮ Analytic investigation of the \((2+1)\)-dimensional Schwarzian Korteweg-de Vries equation for traveling wave solutions ⋮ The periodic wave solutions for a \((2+1)\)-dimensional \textit{AKNS} equation ⋮ \(N\)-soliton solutions for shallow water waves equations in \((1+1)\) and \((2+1)\) dimensions
Cites Work
- Symmetry group analysis and similarity solutions of variant nonlinear long-wave equations
- A Bäcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation
- New multiple soliton solutions to the general Burgers-Fisher equation and the Kuramoto-Sivashinsky equation
- New exact solutions to a solutions to a system of coupled KdV equations
- Traveling-wave solutions of the Schwarz-Korteweg-de Vries equation in \(2+1\) dimensions and the Ablowitz-Kaup-Newell-Segur equation through symmetry reductions
- New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations
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