Traveling waves of a generalized sixth-order Boussinesq equation
Esfahani A. Levandosky S.
30 July 2024John Wiley and Sons Ltd
Mathematical Methods in the Applied Sciences
2024#47Issue 119180 - 9206 pp.
We investigate the existence and stability of traveling waves for the sixth-order Boussinesq equation, considering a broad class of nonlinearities adhering to power-like scaling relations. Employing the Nehari manifold method, we establish the existence of traveling waves and derive variational criteria for assessing their stability or instability. Subsequently, we develop a numerical approach based on these variational principles to delineate regions of stability and instability. Finally, for homogeneous nonlinearities, we establish a sufficient condition for strong instability.
solitary waves , stability , variational methods
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Department of Mathematics, Nazarbayev University, Astana, Kazakhstan
Mathematics and Computer Science Department, College of the Holy Cross, Worcester, 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