Mahmoud A.E. Abdelrahman and Yasmin Omar

This work uses the Riccati-Bernoulli sub-ODE method in constructing various new optical soliton solutions to the
resonant nonlinear Schrödinger equation with both spatio-temporal dispersion and inter-modal dispersion. Actually,
the proposed method is effective tool to solve many other nonlinear partial differential equations in mathematical
physics. Moreover this method can give a new infinite sequence of solutions. These solutions are expressed by
hyperbolic functions, trigonometric functions and rational functions. Finally, with the aid of Matlab release 15, some
graphical simulations were designed to see the behavior of these solutions.


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