Abstract
In this article, the extended trial approach has been used for the investigation of traveling wave solutions of resonant nonlinear Schrodinger equation with variable coefficients depending upon time in the presence of different effects such as Kerr law and parabolic law nonlinearity including a Bohm potential term. Many new soliton solutions such as bright, dark, singular and rational function solutions are obtained. This technique proves to be an advantageous and powerful mathematical tool for establishing abundant exact traveling wave solutions in mathematical physics and plasma. The resonant nonlinear Schrodinger’s equation, in specific, governs the propagation of soliton in both quantum potential and uniaxial waves in a cold collisionless plasma.
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