Solitary waves of a generalized Ostrovsky equation |
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Institution: | 1. Department of Mathematics, Gebze Technical University, Turkey;2. Department of Mathematics, Istanbul Technical University, Turkey;1. Department of Mathematics, Nazarbayev University, Qabanbai Batyr Avenue 53, 010000 Nur-Sultan, Kazakhstan;2. Department of Mathematics, Adama University of Science and Technology, Ethiopia |
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Abstract: | We consider the existence and stability of traveling waves of a generalized Ostrovsky equation , where the nonlinearity 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. |
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Keywords: | Ostrovsky equation Solitary waves Stability |
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