Traveling-wave solutions of the Schwarz-Korteweg-de Vries equation in \(2+1\) dimensions and the Ablowitz-Kaup-Newell-Segur equation through symmetry reductions
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Publication:2654846
DOI10.1023/A:1026092304047zbMath1178.35328OpenAlexW1594223800MaRDI QIDQ2654846
Publication date: 21 January 2010
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1026092304047
KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
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FRACTAL TRAVELING WAVE SOLUTIONS FOR THE FRACTAL-FRACTIONAL ABLOWITZ–KAUP–NEWELL–SEGUR MODEL ⋮ New traveling wave solutions to AKNS and SKdV equations ⋮ 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 ⋮ Exact solutions of \((2+1)\)-Ablowitz-Kaup-Newell-Segur equation ⋮ Computational and numerical solutions for \((2+1)\)-dimensional integrable Schwarz-Korteweg-de Vries equation with Miura transform ⋮ Multiple solutions for the Schwarzian Korteweg-de Vries equation in \((2+1)\) dimensions ⋮ \(N\)-soliton solutions for shallow water waves equations in \((1+1)\) and \((2+1)\) dimensions ⋮ Meromorphic exact solutions of the (2 + 1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation
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