KFU. Card publication. Spectral Approach to Numerical In-tegration of the GKP or Belashov Class Equations in the Problems of Nonlinear Wave Dynamics Simulation

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SPECTRAL APPROACH TO NUMERICAL IN-TEGRATION OF THE GKP OR BELASHOV CLASS EQUATIONS IN THE PROBLEMS OF NONLINEAR WAVE DYNAMICS SIMULATION

Form of presentation

Articles in international journals and collections

Year of publication

2022

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Authors, employees of KFU

Belashov Vasiliy Yurevich, author

Bibliographic description in the original language

Belashov V.Yu. Spectral Approach to Numerical In-tegration of the GKP or Belashov Class Equations in the Problems of Nonlinear Wave Dynamics Simulation / V.Yu.Belashov // Acta Scientific Computer Sciences. - 2022. - Vol.4. - Issue 7. - Pp. 41-45.

Annotation

The original method for numerical integration of the generalized Kadomtsev-Petviashvili (KP) equation which includes the term proportional to the fifth derivative (so called the Belashov-Karpman equation) which enables to study the solution's evolution and the multidimensional soliton's interaction's dynamics is presented. This method is rather simple in its computer realization and not such cumbersome comparatively with other known methods for the numerical integration of the different equations of the KP-class. In the paper we consider spectral approach to the numerical integration of the equations of the KP-class describing the dynamics of the ion-acoustic and magnetosonic waves in a plasma on the basis of the generalized KP equation. The method is rather simple in its computer realization and doesn't such cumbersome comparatively with other methods for the numerical integration of the differential equations of the KP-class, and very effective, so it doesn't require big time and memory expenditures. This approach was first used by us for study of some problems of nonlinear evolution of the fast magnetosonic (FMS) wave beam in magnetized plasma and can be generalized easily for all equations of the KP class

Keywords

Dynamics; Fast Magnetosonic (FMS); KP-Class

The name of the journal

Acta Scientific Computer Sciences

On-line resource for training course

http://dspace.kpfu.ru/xmlui/bitstream/handle/net/171497/ASCS_04_0293__Spectral_Approach..._GKP_.pdf?sequence=1&isAllowed=y

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

https://repository.kpfu.ru/eng/?p_id=268555&p_lang=2

Resource files

File name	Size (MB)	Format
ASCS_04_0293__Spectral_Approach..._GKP_.pdf	0,46	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Belashov Vasiliy Yurevich	ru_RU
dc.date.accessioned	2022-01-01T00:00:00Z	ru_RU
dc.date.available	2022-01-01T00:00:00Z	ru_RU
dc.date.issued	2022	ru_RU
dc.identifier.citation	Belashov V.Yu. Spectral Approach to Numerical In-tegration of the GKP or Belashov Class Equations in the Problems of Nonlinear Wave Dynamics Simulation / V.Yu.Belashov // Acta Scientific Computer Sciences. - 2022. - Vol.4. - Issue 7. - Pp. 41-45.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=268555&p_lang=2	ru_RU
dc.description.abstract	Acta Scientific Computer Sciences	ru_RU
dc.description.abstract	The original method for numerical integration of the generalized Kadomtsev-Petviashvili (KP) equation which includes the term proportional to the fifth derivative (so called the Belashov-Karpman equation) which enables to study the solution's evolution and the multidimensional soliton's interaction's dynamics is presented. This method is rather simple in its computer realization and not such cumbersome comparatively with other known methods for the numerical integration of the different equations of the KP-class. In the paper we consider spectral approach to the numerical integration of the equations of the KP-class describing the dynamics of the ion-acoustic and magnetosonic waves in a plasma on the basis of the generalized KP equation. The method is rather simple in its computer realization and doesn't such cumbersome comparatively with other methods for the numerical integration of the differential equations of the KP-class, and very effective, so it doesn't require big time and memory expenditures. This approach was first used by us for study of some problems of nonlinear evolution of the fast magnetosonic (FMS) wave beam in magnetized plasma and can be generalized easily for all equations of the KP class	ru_RU
dc.language.iso	ru	ru_RU
dc.subject		ru_RU
dc.title	Spectral Approach to Numerical In-tegration of the GKP or Belashov Class Equations in the Problems of Nonlinear Wave Dynamics Simulation	ru_RU
dc.type	Articles in international journals and collections	ru_RU