Interactions of solitary waves under the conditions of the \((3+1)\)-dimensional Kadomtsev-Petviashvilli equation

DOI10.1016/j.amc.2009.10.031zbMath1184.35270OpenAlexW2031832950MaRDI QIDQ846440

Hong Zhao

Publication date: 9 February 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.10.031

zbMATH Keywords

exact solutionslocalized excitations\((3+1)\)-dimensional Kadomtsev-Petviashvilli (KP) equationinteractions of solitary waves

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton solutions (35C08)

Related Items (3)

Complex wave excitations and their interaction behaviors for higher-dimensional nonlinear model ⋮ On the solitary waves, breather waves and rogue waves to a generalized \((3+1)\)-dimensional Kadomtsev-Petviashvili equation ⋮ Asymptotic behavior of the periodic wave solution for the \((3+1)\)-dimensional Kadomtsev-Petviashvili equation

Cites Work

• New soliton structures with non-propagating behavior in three-dimensional system
• On the coherent structures of the Nizhnik-Novikov-Veselov equation
• The structures and interactions of solitary waves in the (2 + 1)-dimensional nonlinear Schrödinger equation
• A new general type of solitary wave of a (2+1)-dimensional system

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