Solitary waves of a generalized Ostrovsky equation

Esfahani A. Levandosky S.
February 2022 Elsevier Ltd

Nonlinear Analysis: Real World Applications
2022 #63

We consider the existence and stability of traveling waves of a generalized Ostrovsky equation (u_t−βu_xxx−f(u)_x)_x=γu, where the nonlinearity f(u) satisfies a power-like scaling condition. We prove that there exist ground state solutions which minimize the action among all nontrivial solutions and use this variational characterization to study their stability. We also introduce a numerical method for computing ground states based on their variational properties. The class of nonlinearities considered includes sums and differences of distinct powers.

Ostrovsky 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

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