Advanced Solutions to Schrödinger-Type Equations via the Auxiliary Equation Method
DOI:
https://doi.org/10.59743/Keywords:
Auxiliary equation, traveling wave, Ginzburg-Landau equationAbstract
This paper investigates the complexities of solving nonlinear partial differential equations. It explores several analytical approaches for resolving these equations. Our approach includes the utilization of the auxiliary equation method, where we employ the auxiliary equation (φ′(ξ))2=aφ2(ξ)+bφ4(ξ)+cφ6(ξ)(φ′(ξ))2=aφ2(ξ)+bφ4(ξ)+cφ6(ξ) to compute precise traveling wave solutions for two specific types of nonlinear Schrödinger-type equations: the nonlinear cubic-quintic Ginzburg-Landau equation and the resonant nonlinear Schrödinger’s equation.
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Copyright (c) 2025 إمحمد الصقع ، عبد الله الروينية
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