Dynamics and Exact Solutions of the Kadomtsev–Petviashvili Equation

The article is devoted to the finite-dimensional dynamics of the Kadomtsev–Petviashvili equation and their use for constructing exact solutions. Finite-dimensional dynamics of evolutionary differential equations is a natural generalization of the theory of dynamical systems to partial differential equations. The necessary information on the finite-dimensional dynamics theory is given.

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Publication Details

Journal
Lobachevskii Journal of Mathematics
Published
2024-10-01
DOI
https://doi.org/10.1134/s1995080224605642
Primary Topic
Nonlinear Waves and Solitons
Type
article
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article

Dynamics and Exact Solutions of the Kadomtsev–Petviashvili Equation

Sinian Tao, Alexei Kushner
Lobachevskii Journal of Mathematics
Nonlinear Waves and Solitons
article

Dynamics and Exact Solutions of the Kadomtsev–Petviashvili Equation

Sinian Tao, Alexei Kushner
article en

Abstract

The article is devoted to the finite-dimensional dynamics of the Kadomtsev–Petviashvili equation and their use for constructing exact solutions. Finite-dimensional dynamics of evolutionary differential equations is a natural generalization of the theory of dynamical systems to partial differential equations. The necessary information on the finite-dimensional dynamics theory is given.

Lobachevskii Journal of MathematicsVol. 45(10)
Lomonosov Moscow State University (RU)
Openalex Percentile: Top 75%
Nonlinear Waves and Solitons
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Dynamics and Exact Solutions of the Kadomtsev–Petviashvili Equation — Sinian Tao, Alexei Kushner · Lobachevskii Journal of Mathematics (2024) | TGRS Research Map | TGRS