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The Novel Multi-Soliton Solutions of Equation for Shallow Water Waves
Journal of the Physical Society of Japan, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Yi, Deng, Shufang, Chen, Dengyuan
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, 2020
In this article we consider a general system of complex short pulse equation (CSPE) that under certain nonlocal symmetry reduction yields a reverse space-time nonlocal complex short pulse equation (NL-CSPE).
H. Sarfraz, U. Saleem
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In this article we consider a general system of complex short pulse equation (CSPE) that under certain nonlocal symmetry reduction yields a reverse space-time nonlocal complex short pulse equation (NL-CSPE).
H. Sarfraz, U. Saleem
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Existence of multi-soliton solution for Zakharov–Rubenchik system
Journal of Evolution EquationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alvarez, Vicente, Esfahani, Amin
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Multi-soliton-like solutions to the Benjamin–Ono equation
Journal of Mathematical Physics, 1977We outline a systematic method of obtaining particular solutions to the nonlinear, integrodifferential equation obtained by Benjamin and Ono in their study of the propagation of finite amplitude waves in fluids of great depth. These solutions have the property of asymptotically breaking up into a series of N spatially localized waves of permanent form;
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On the Multi‐soliton Solutions of Some Nonlinear Evolution Equations
Studies in Applied Mathematics, 1979We use the Hirota's technique to find the multi‐soliton solutions of some nonlinear evolution equations. The interaction of the solitons is studied.
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Darboux transformation and multi-soliton solutions of Boussinesq–Burgers equation
Physics Letters A, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Xuemei, Chen, Aihua
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The Novel Multi-Soliton Solutions of the MKdV–Sine Gordon Equations
Journal of the Physical Society of Japan, 2002From the introduction: We consider the mKdV-sine Gordon equation \[ u_{xt}+ A\left(\tfrac 32 u^2_xu_{xx}+u_{xxx}\right) =B\sin u, \] \((A,B\) are real constants) and find new multi-soliton solutions by Hirota's direct method.
Chen, Dengyuan +2 more
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Mathematical methods in the applied sciences, 2019
In this work, the Riemann‐Hilbert (RH) problem of the N‐coupled high‐order nonlinear Schrödinger (N‐CHNLS) equations is studied carefully, which controls the propagation of N fields with all high‐order effects such as high‐order dispersion, self ...
Jin-Jie Yang +3 more
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In this work, the Riemann‐Hilbert (RH) problem of the N‐coupled high‐order nonlinear Schrödinger (N‐CHNLS) equations is studied carefully, which controls the propagation of N fields with all high‐order effects such as high‐order dispersion, self ...
Jin-Jie Yang +3 more
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Multi soliton solution for the system of Coupled Korteweg-de Vries equations
Applied Mathematics and Computation, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. S. Abdel Rady +2 more
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Warning on multi-soliton solutions to Zakharov equations
Journal of Physics A: Mathematical and General, 1983Summary: Although it has been usually recognised that the Zakharov equations in one dimension are not completely integrable, multi-soliton solutions to them have been published recently, where the direct methods developed by Hirota are used. It is shown that this result is incorrect.
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