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