On the stability of the solitary waves to the rotation Benjamin‐Ono equation
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DOI: 10.1002/mma.5335
Abstract: In this paper, we study several aspects of solitary wave solutions of the rotation Benjamin-Ono equation. By solving a minimization problem on the line, we construct a family of even travelling waves $\psi_{c,\gamma}$. We also… read more here.
Keywords: rotation benjamin; ono equation; stability solitary; benjamin ono ... See more keywords
Spatiotemporal dynamics of lump solution to the (1 + 1)-dimensional Benjamin–Ono equation
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DOI: 10.1007/s11071-017-3620-0
Abstract: A periodically breather solitary wave and some lump solutions are obtained via using Hirota’s bilinear method, homoclinic test approach and parameter perturbation technique for the (1 + 1)-dimensional Benjamin–Ono equation. Spatiotemporal dynamics of lump solution… read more here.
Keywords: lump solution; dimensional benjamin; solution; spatiotemporal dynamics ... See more keywords
The Cauchy problem for the stochastic generalized Benjamin-Ono equation
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DOI: 10.1007/s11425-019-1620-y
Abstract: The current paper is devoted to the Cauchy problem for the stochastic generalized Benjamin-Ono equation. By establishing the bilinear estimate, trilinear estimates in some Bourgain spaces, we prove that the Cauchy problem for the stochastic… read more here.
Keywords: generalized benjamin; cauchy problem; ono equation; problem stochastic ... See more keywords
Quasi-invariance of Gaussian measures for the periodic Benjamin-Ono-BBM equation
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DOI: 10.1007/s40072-022-00240-2
Abstract: The BBM equation is a Hamiltonian PDE which revealed to be a very interesting test-model to study the transformation property of Gaussian measures along the flow, after Tzvetkov (Sigma 3:e28-35). In this paper we study… read more here.
Keywords: benjamin ono; bbm equation; gaussian measures; quasi invariance ... See more keywords
A Newton-Type Approach to Approximate Travelling Wave Solutions of a Schrödinger-Benjamin-Ono System
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DOI: 10.1155/2018/3586514
Abstract: We introduce a Newton’s iterative method to approximate periodic and nonperiodic travelling wave solutions of the Schrodinger-Benjamin-Ono system derived by M. Funakoshi and M. Oikawa. We analyze numerically the influence of the model’s parameters on… read more here.
Keywords: approximate; wave solutions; travelling wave; benjamin ono ... See more keywords
On the Exact Solitary Wave Solutions to the New ( 2 + 1 ) and ( 3 + 1 )-Dimensional Extensions of the Benjamin-Ono Equations
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DOI: 10.1155/2021/6672819
Abstract: In this paper, the Kudryashov method to construct the new exact solitary wave solutions for the newly developed ( )- dimensional Benjamin-Ono equation is successfully employed. In the same vein, also the new ( )-… read more here.
Keywords: exact solitary; wave solutions; solitary wave; solutions new ... See more keywords