KFU. Card publication. Qualitative Analysis and Asymptotics of Solutions of The GKP-Class Equations with Variable Dispersion

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QUALITATIVE ANALYSIS AND ASYMPTOTICS OF SOLUTIONS OF THE GKP-CLASS EQUATIONS WITH VARIABLE DISPERSION

Form of presentation

Articles in international journals and collections

Year of publication

2017

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Authors, employees of KFU

Belashov Vasiliy Yurevich, author

Other authors

Belashova Elena , author

Bibliographic description in the original language

Belashov, V. Yu. Qualitative Analysis and Asymptotics of Solutions of The GKP-Class Equations with Variable Dispersion / V. Yu. Belashov, E.S. Belashova // J Phys Astron. - 2017. - Vol. 5. - � 1. - R. 108-118.

Annotation

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 multidimensional 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

The name of the journal

Journal of Physics & Asstronomy

On-line resource for training course

http://dspace.kpfu.ru/xmlui/bitstream/handle/net/110900/qualitative_analysis_and_asymptotics_of_solutions_of_the_gkpclass_equationswith_variable_dispersion.pdf?sequence=1&isAllowed=y

URL

http://www.tsijournals.com/articles/qualitative-analysis-and-asymptotics-of-solutions-of-the-gkpclass-equationswith-variable-dispersion.pdf

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=157286&p_lang=2

Resource files

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Full metadata record

Field DC	Value	Language
dc.contributor.author	Belashov Vasiliy Yurevich	ru_RU
dc.contributor.author	Belashova Elena	ru_RU
dc.date.accessioned	2017-01-01T00:00:00Z	ru_RU
dc.date.available	2017-01-01T00:00:00Z	ru_RU
dc.date.issued	2017	ru_RU
dc.identifier.citation	Belashov, V. Yu. Qualitative Analysis and Asymptotics of Solutions of The GKP-Class Equations with Variable Dispersion / V. Yu. Belashov, E.S. Belashova // J Phys Astron. - 2017. - Vol. 5. - � 1. - �. 108-118.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=157286&p_lang=2	ru_RU
dc.description.abstract	Journal of Physics & Asstronomy	ru_RU
dc.description.abstract	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 multidimensional 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.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	dynamical system; generalized KdV equation; GKP equation; multidimensional solutions; phase space; qualitative analysis	ru_RU
dc.subject	solitons	ru_RU
dc.subject	structure of solutions	ru_RU
dc.subject	variable dispersion	ru_RU
dc.title	Qualitative Analysis and Asymptotics of Solutions of The GKP-Class Equations with Variable Dispersion	ru_RU
dc.type	Articles in international journals and collections	ru_RU