CRE solvability and soliton-cnoidal wave interaction solutions of the dissipative \((2+1)\)-dimensional AKNS equation
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Publication:2407754
DOI10.1016/j.aml.2017.02.007zbMath1378.35085OpenAlexW2590414387MaRDI QIDQ2407754
Publication date: 6 October 2017
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2017.02.007
Initial value problems for nonlinear higher-order PDEs (35G25) Integro-partial differential equations (35R09)
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Cites Work
- Unnamed Item
- Bosonization, singularity analysis, nonlocal symmetry reductions and exact solutions of supersymmetric KdV equation
- Nonlocal symmetry and similarity reductions for the Drinfeld-Sokolov-Satsuma-Hirota system
- Nonlocal symmetries and explicit solutions of the Boussinesq equation
- \(N\)-soliton solutions for shallow water waves equations in \((1+1)\) and \((2+1)\) dimensions
- New traveling wave solutions to AKNS and SKdV equations
- Painlevé analysis of nonlinear evolution equations -- an algorithmic method
- Nonlocal symmetry and soliton-cnoidal wave solutions of the Bogoyavlenskii coupled KdV system
- Symmetry and integration methods for differential equations
- Nonlocal symmetry and exact solutions of the \((2+1)\)-dimensional breaking soliton equation
- CTE method to the interaction solutions of Boussinesq-Burgers 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
- Nonlocal symmetries related to Bäcklund transformation and their applications
- The Painlevé property for partial differential equations
- Nonlocal symmetries of the Hirota-Satsuma coupled Korteweg-de Vries system and their applications: Exact interaction solutions and integrable hierarchy
