Existence and stability of traveling waves of the fifth-order KdV equation
Esfahani A. Levandosky S.
July 2021Elsevier B.V.
Physica D: Nonlinear Phenomena
2021#421
We consider the existence and stability of traveling waves of the Fifth-Order KdV equation for a general class of nonlinearities that satisfy power-like scaling relations. This class of nonlinearities includes sums and differences of powers. For such nonlinearities we use variational methods to show that there exist ground state traveling wave solutions and use the variational properties of the ground states to analyze their stability.
Ground States , KdV equation , Solitary Waves , Stability
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Department of Mathematics, Nazarbayev University, Nur-Sultan, 010000, Kazakhstan
Mathematics and Computer Science Department, College of the Holy Cross, Worcester, 01610, MA, United States
Department of Mathematics
Mathematics and Computer Science Department
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026