Trajectory equation of a lump before and after collision with other waves for \((2+1)\)-dimensional Sawada-Kotera equation

DOI10.1016/J.AML.2022.108408zbMath1498.35159OpenAlexW4293385628MaRDI QIDQ2080860

Yan Li, Yarong Xia, Ruo-Xia Yao, Xiang-Peng Xin

Publication date: 11 October 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108408

zbMATH Keywords

long wave limitbreathertrajectory equationlumpline wave

Mathematics Subject Classification ID

Soliton equations (35Q51) Soliton solutions (35C08)

Related Items (1)

New lump solutions and several interaction solutions and their dynamics of a generalized (3+1)-dimensional nonlinear differential equation

Cites Work

• Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
• Plenty of novel interaction structures of soliton molecules and asymmetric solitons to (2 + 1)-dimensional Sawada-Kotera equation
• A new set and new relations of multiple soliton solutions of (2 + 1)-dimensional Sawada-Kotera equation
• Solitons for a \((2+1)\)-dimensional Sawada-Kotera equation via the Wronskian technique
• Two-dimensional lumps in nonlinear dispersive systems
• Algebraic-Geometric Solution to (2+1)-Dimensional Sawada–Kotera Equation
• Bell-polynomial manipulations on the Bäcklund transformations and Lax pairs for some soliton equations with one Tau-function
• Lump-type solutions to nonlinear differential equations derived from generalized bilinear equations
• The construction of exact solutions of two-dimensional integrable generalizations of Kaup-Kuperschmidt and Sawada-Kotera equations via \(\overline \partial\)-dressing method
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