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Belashov, V. Y. U.
- Qualitative Analysis and Asymptotics of Solutions of the Gkp-Class Equations with Variable Dispersion
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Authors
Affiliations
1 Kazan (Volga Region), Federal University, Kazan, RU
2 Kazan National Research Technical University Named after A.N. Tupolev, Kazan, RU
1 Kazan (Volga Region), Federal University, Kazan, RU
2 Kazan National Research Technical University Named after A.N. Tupolev, Kazan, RU
Source
Journal of Physics & Astronomy, Vol 5, No 1 (2017), Pagination: 1-11Abstract
In this paper we study the dynamical systems associated with the generalized Kadomtsev-Petviashvili (GKP) equation with variable dispersion and consider the structure of possible multidi-mensional solutions and their asymptotics. We also present some considerations on constructing of the phase portraits of the systems in the 8-dimensional phase space for the GKP equation on the basis of the results of qualitative analysis of the generalized equations of the KdV-class.Keywords
Dynamical System, Generalized KDV Equation, GKP Equation, Multidimensional Solutions, Phase Space, Qualitative Analysis, Solitons, Structure of Solutions, Variable Dispersion.Full Text
References
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