PRECISE TRAVELING WAVE SOLUTIONS FOR NONLINEAR SCHRÖDINGER EQUATIONS
Keywords:
Auxiliary equation, traveling wave, Schrödinger equationsAbstract
This paper addresses challenges associated with the study of nonlinear partial differential equations. Various methods have been utilized for the analytical resolution of these equations. In this discussion, we implement the auxiliary equation method, specifically using the auxiliary equation (φ′(ξ)) ² =aφ²(ξ)+bφ⁴(ξ)+cφ⁶(ξ), to derive the exact traveling wave solutions for two advanced nonlinear Schrödinger equations.
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