Explicit non-travelling wave solutions for non-integrable \((3+1)\)-dimensional systems

DOI10.1515/IJNSNS.2010.11.9.679zbMath1401.35280OpenAlexW2332954683MaRDI QIDQ1786240

Zhengde Dai, Zhanhui Zhao

Publication date: 24 September 2018

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ijnsns.2010.11.9.679

zbMATH Keywords

symmetry reductionLie group methodextended homoclinic test approachYTSF equationnon-traveling wave solution

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30)

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Families of rational and semirational solutions of the partial reverse space-time nonlocal Mel'nikov equation ⋮ Symmetry reduction and exact solutions of the \((3+1)\)-dimensional nKdV-nCBS equation ⋮ General high-order breathers and rogue waves in the \((3 + 1)\)-dimensional KP-Boussinesq equation ⋮ Interaction of lumps and dark solitons in the Mel'nikov equation ⋮ Spatio-Temporal Deformation of Kink-Breather to the (2+1)-Dimensional Potential Boiti–Leon–Manna–Pempinelli Equation

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