On the analytic and approximate solutions for the fractional nonlinear Schrödinger equations

The Journal of Nonlinear Sciences and its Applications

article

C. Li¹  K. Nonlaopon²  A. Hrytsenko¹  J. Beaudin¹ 

[1]Department of Mathematics, Computer Science, Brandon University

[2]Department of Mathematics, Faculty of Science, Khon Kaen University

关键词: Adomian's decomposition method;    Fractional nonlinear Schrödinger equation;    Fractional calculus;    Approximate solution;   

DOI  :  10.22436/jnsa.016.01.05

学科分类：社会科学、人文和艺术（综合）

来源: Shomal University

【 摘 要 】

In this work, we are devoted to the following fractional nonlinear Schrödinger equation with the initial conditions in the Caputo sense for \(1 0, \sigma \in \mathbb{R}\), \(\gamma(\theta, \sigma)\) is a continuous function and \(\beta_1, \beta_2, \beta_3\) are constants. Our analysis for deriving analytic and approximate solutions to the Schrödinger equation relies on the Adomian decomposition method and fractional calculus. Several illustrative examples are presented to demonstrate the solution constructions. Finally, the variant and symmetric system of the fractional nonlinear Schrödinger equations are studied.

【 授权许可】

Unknown