67508

Автор(ы): 

Автор(ов): 

2

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

The dispersionless Veselov--Novikov equation: symmetries, exact solutions, and conservation laws

ISBN/ISSN: 

1664-2368

DOI: 

10.1007/s13324-021-00563-8

Наименование источника: 

  • Analysis and Mathematical Physics

Обозначение и номер тома: 

Vol. 11, Iss. 3

Город: 

  • Berlin

Издательство: 

  • Springer

Год издания: 

2021

Страницы: 

126 (1-26) https://link.springer.com/article/10.1007/s13324-021-00563-8
Аннотация
We study symmetries, invariant solutions, and conservation laws for the dispersionless Veselov--Novikov equation. The emphasis is placed on cases when the {\sc ode}s involved in des\-crip\-ti\-on of the invariant solutions are integrable in quadratures. Then we find some non-invariant solutions, in particular, solutions that are polynomials of an arbitrary degree $N \ge 3$ with respect to the spatial variables. Finally we compute all conservation laws that are associated to cosymmetries of second order.

Библиографическая ссылка: 

Морозов О.И., Chang J.-H. The dispersionless Veselov--Novikov equation: symmetries, exact solutions, and conservation laws // Analysis and Mathematical Physics. 2021. Vol. 11, Iss. 3. С. 126 (1-26) https://link.springer.com/article/10.1007/s13324-021-00563-8.