首页|Exact solutions of the linear and nonlinear Schr?dinger equations with variable coefficients

Exact solutions of the linear and nonlinear Schr?dinger equations with variable coefficients

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  • NSTL
  • Elsevier
? 2022 Elsevier GmbHThis paper studies exact solutions for the (2+1)-dimensional nonlinear Schr?dinger equation with variable coefficients. First, after a transformation, the linear equation is attribute to the Hukuhara equation and then it is solved by the similarity construction method. Then, the bright and dark soliton and exact solutions for the above nonlinear equation are obtained. Finally, the graphs of these exact solutions to the linear and nonlinear equations with k=1,2 are drew, respectively, which reveals that the essential profile of solutions to the nonlinear Schr?dinger equation with variable coefficients is determined by the corresponding linear equation.

(G′/G)-expansion methodExact solutionHukuhara equationSchr?dinger equationVariable coefficient

Dai J.、Liu Y.

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School of Mathematical Sciences and V.C. & V.R. Key Lab Sichuan Normal University

2022

10.1016/j.ijleo.2022.169697

Optik

Optik

EISCI
ISSN：0030-4026
年,卷(期)：2022.267
  • 38