Inverse Scattering and Loaded Modified Korteweg-de Vries Equation
Michal FeˇckanInstitute of Mathematics, Khorezm Branch, Uzbekistan Academy of Sciences Urgench, Uzbekistan
ABI
Аннотация
The Cauchy problem for the loaded modified Korteweg-de Vries equation in the class of "rapidly decreasing" functions is considered in this paper. The main result of this work is a theorem on the evolution of the scattering data of the Dirac operator. Potential of the operator is the solution to the loaded modified Korteweg-de Vries equation. The obtained equalities allow one to apply the method of the inverse scattering transform to solve the Cauchy problem for the loaded modified Korteweg-de Vries equation
Темы
Идентификаторы
Цитирования и источники
Показатели — AkademScholar · Скоро