Solutions of Traveling Wave Type for Korteweg-de Vries-Type System with Polynomial Potential

Авторы: Beklaryan L.A., Beklaryan A.L., Gornov A.Y.
Сборник: In: Evtushenko Y., Jaćimović M., Khachay M., Kochetov Y., Malkova V., Posypkin M. (eds) Optimization and Applications. OPTIMA 2018
Серия: Communications in Computer and Information Science (CCIS)
Том: 974
Год издания: 2019
Место издания: Springer, Cham Springer Nature Switzerland AG
Первая страница: 291
Последняя страница: 305
DOI: 10.1007/978-3-030-10934-9_21
Аннотация: This paper deals with the implementation of numerical methods for searching for traveling waves for Korteweg-de Vries-type equations with time delay. Based upon the group approach, the existence of traveling wave solution and its boundedness are shown for some values of parameters. Meanwhile, solutions constructed with the help of the proposed constructive method essentially extend the class of systems, possessing solutions of this type, guaranteed by theory. The proposed method for finding solutions is based on solving a multiparameter extremal problem. Several numerical solutions are demonstrated.
Добавил в систему: Бекларян Лева Андреевич

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