General soliton solutions to a coupled Fokas–Lenells equation
نویسندگان
چکیده
منابع مشابه
Explicit multiple singular periodic solutions and singular soliton solutions to KdV equation
Based on some stationary periodic solutions and stationary soliton solutions, one studies the general solution for the relative lax system, and a number of exact solutions to the Korteweg-de Vries (KdV) equation are first constructed by the known Darboux transformation, these solutions include double and triple singular periodic solutions as well as singular soliton solutions whose amplitude d...
متن کاملInverse scattering approach to coupled higher order nonlinear Schrödinger equation and N -soliton solutions
A generalized inverse scattering method has been applied to the linear problem associated with the coupled higher order nonlinear schrödinger equation to obtain it’s N -soliton solution. An infinite number of conserved quantities have been obtained by solving a set of coupled Riccati equations. It has been shown that the coupled system admits two different class of solutions, characterised by t...
متن کاملPeriodic Soliton Solutions to the Davey–Stewartson Equation
The periodic soliton resonances and recurrent wave solutions to the Davey–Stewartson equation are presented. The solutions that described the interaction between a y-periodic soliton and a line soliton are analyzed to show the existence of the soliton resonances. The various recurrent solutions (The growing-and-decaying mode, breather and rational growing-anddecaying mode solutions) are present...
متن کاملTwo soliton solutions to the three dimensional gravitational Hartree equation
We construct non dispersive two soliton solutions to the three dimensional gravitational Hartree equation whose trajectories asymptotically reproduce the nontrapped dynamics of the gravitational two body problem.
متن کاملInstability of Soliton Solutions to the Schamel-nonlinear Schrödinger Equation
A variational method is used to obtain the growth rate of a transverse long-wavelength perturbation applied to the soliton solution of a nonlinear Schrödinger equation with a three-half order potential. We demonstrate numerically that this unstable perturbed soliton will eventually transform into a cylindrical soliton. Keywords—soliton, instability, variational method, spectral method
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nonlinear Analysis: Real World Applications
سال: 2018
ISSN: 1468-1218
DOI: 10.1016/j.nonrwa.2017.08.013