A new Painleve-integrable equation possessing KdV-type solitons

zbMath1440.35297arXiv1907.01324MaRDI QIDQ5118527

Sergei Sakovich

Publication date: 26 August 2020

Full work available at URL: https://arxiv.org/abs/1907.01324

zbMATH Keywords

integrabilitysolitonsKdV equationnonlinear wave equationPainlevé analysis

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)

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Integrability of One Bilinear Equation: Singularity Analysis and Dimension ⋮ A new \((3+1)\)-dimensional Sakovich equation in nonlinear wave motion: Painlevé integrability, multiple solitons and soliton molecules ⋮ Lie symmetry analysis, optimal system and exact solutions of variable-coefficients Sakovich equation

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