Traveling waves of a generalized nonlinear Beam equation
Esfahani A. Levandosky S.
2022International Press, Inc.
Dynamics of Partial Differential Equations
2022#19Issue 291 - 121 pp.
We consider the existence and stability of traveling waves of a nonlinear beam equation for a general class of non-homogeneous nonlinearities. We use variational methods to prove existence of ground state traveling wave solutions for this class and analyze their stability. We also present a numerical method based on the variational characterization of ground states and use it to determine intervals of wave speeds for which ground states are stable.
Nonlinear beam equation , Stability , Traveling wave , Variational methods
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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