| Форма представления | Статьи в зарубежных журналах и сборниках |
| Год публикации | 2022 |
| Язык | английский |
|
Белашов Василий Юрьевич, автор
|
| Библиографическое описание на языке оригинала |
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. |
| Аннотация |
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 |
| Ключевые слова |
Dynamics; Fast Magnetosonic (FMS); KP-Class |
| Название журнала |
Acta Scientific Computer Sciences
|
| Ссылка для РПД |
http://dspace.kpfu.ru/xmlui/bitstream/handle/net/171497/ASCS_04_0293__Spectral_Approach..._GKP_.pdf?sequence=1&isAllowed=y
|
| Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку |
https://repository.kpfu.ru/?p_id=268555 |
| Файлы ресурса | |
|
|
Полная запись метаданных  |
| Поле DC |
Значение |
Язык |
| dc.contributor.author |
Белашов Василий Юрьевич |
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/?p_id=268555 |
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 |
Статьи в зарубежных журналах и сборниках |
ru_RU |
|
EN 
中文 
ES 
Карта сайта
