Two new Painlevé-integrable (2+1) and (3+1)-dimensional KdV equations with constant and time-dependent coefficients

DOI10.1016/j.nuclphysb.2020.115009zbMath1479.35752OpenAlexW3015106585MaRDI QIDQ2230297

Abdul-Majid Wazwaz

Publication date: 17 September 2021

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nuclphysb.2020.115009

zbMATH Keywords

integrabilityPainlevé testmultiple-soliton solutionsKdV equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Other special methods applied to PDEs (35A25) Soliton solutions (35C08)

Related Items (10)

Multiwave interaction solutions for a (3 + 1)-dimensional generalized BKP equation ⋮ A NEW (3+1)-DIMENSIONAL KDV EQUATION AND MKDV EQUATION WITH THEIR CORRESPONDING FRACTIONAL FORMS ⋮ Symmetry solutions and conserved vectors of the two-dimensional Korteweg-de Vries equation ⋮ Multiple rogue wave, breather wave and interaction solutions of a generalized \((3 + 1)\)-dimensional variable-coefficient nonlinear wave equation ⋮ Nonlinear superposition between lump waves and other nonlinear waves of the (2+1)-dimensional extended Korteweg-de Vries equation ⋮ New \((3 + 1)\)-dimensional date-Jimbo-Kashiwara-Miwa equations with constant and time-dependent coefficients: Painlevé integrability ⋮ New integrable (2+1)- and (3+1)-dimensional sinh-Gordon equations with constant and time-dependent coefficients ⋮ Mixed rational lump-solitary wave solutions to an extended (2+1)-dimensional KdV equation ⋮ Bäcklund transformation, residual symmetry and exact interaction solutions of an extended \((2+1)\)-dimensional Korteweg-de Vries equation ⋮ Integrability and exact solutions of the (2+1)-dimensional KdV equation with Bell polynomials approach

Cites Work

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