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We derive two types of exact analytical solutions in terms of rational-like functions for a generalized nonlinear Schrödinger equation with variable coefficients via the methods of similarity transformation and direct ansatz. Based on these solutions, several novel optical solitary waves are constructed by selecting appropriate functions, and the main evolution features of these waves are shown by...
We consider nonautonomous rogue wave solutions of a $$(3+1)$$ ( 3 + 1 ) -dimensional (3D) nonlinear Schrödinger equation (NLSE) with time–space modulation terms, the dispersion and the nonlinear coefficients engendering temporal dependency. Similarity transformation is used to convert the nonautonomous equation into autonomous NLSE; we obtain the multi-rogue wave solutions employing the...
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