Extended direct method and new similarity solutions of Kadomtsev-Petviashvili equation

DOI10.1134/s0965542524701148MaRDI QIDQ6636636

Shao-Wei Liu, BaoQin Zhao

Publication date: 12 November 2024

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

exact solutionssimilarity reductionsKadomtsev-Petviashvili equationextended direct method

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Solutions to PDEs in closed form (35C05)

Cites Work

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• New similarity reductions of the Boussinesq equation
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• Infinitely many Lax pairs and symmetry constraints of the KP equation
• Non-Lie symmetry groups of (2+1)-dimensional nonlinear systems obtained from a simple direct method
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• Optical solitary waves and soliton solutions of the \((3+1)\)-dimensional generalized Kadomtsev-Petviashvili-Benjamin-Bona-Mahony equation

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