Abstract
Nonlinear Schrödinger equations are examined to see if any new solution structures can be found for three different kinds of nonlinear equations. The generalized Korteweg–de Vries (gKdV) equation, the (2 + 1)–Ablowitz–Kaup–Newwell–Segur (AKNS) equation, and the Maccari system are all investigated. These models commonly characterize kinetic energy operators, which are affected by mass location and time dependence and the numerous representations of kinetic energy operators. Soliton wave solutions for the three new models are created by using the analytical Khater II approach. Figures depicting the numerical simulations of the resulting solutions may be seen all over the place. Mathematica 12 software is used to verify the approaches’ accuracy and re-incorporate all new results into the original models.
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