Explicit Weierstrass \(\wp\) traveling wave solution and stability of dispersive solutions to the Kadomtsev-Petviashvili equation with competing dispersion effect

DOI10.1007/S12591-020-00523-XzbMath1485.35105OpenAlexW3006255990WikidataQ115376422 ScholiaQ115376422MaRDI QIDQ2116193

Amiya Das

Publication date: 16 March 2022

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-020-00523-x

zbMATH Keywords

KP equationJacobi elliptic functiondispersion effectWeirstrass \(\wp\) function

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Traveling wave solutions (35C07)

Cites Work

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• Solitons in Shallow Seas of Variable Depth and in Marine Straits
• Nonlinear Second Order Ode's: Factorizations and Particular Solutions
• Integrable Nonlinear Equations for Water Waves in Straits of Varying Depth and Width
• Recurrent motions in certain continuum dynamical systems
• Long Non‐Linear Waves in Fluid Flows

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