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The Decomposition Method for Studying a Higher-Order Nonlinear Schr¨odinger Equation in Atmospheric Dynamics

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The Decomposition Method for Studying a Higher-Order Nonlinear Schr¨odinger Equation in Atmospheric Dynamics

Zheng-Yi Ma

Department of Mathematics, Zhejiang Lishui University, Zhejiang Lishui 323000, P. R. China Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China

Reprint requests to Dr. Z.-Y. M.; E-mail: mazhengyi 77@yahoo.com.cn Z. Naturforsch.62a,387 – 395 (2007); received January 22, 2007

The Adomian decomposition method is implemented for solving a higher-order nonlinear Schr¨odinger equation in atmospheric dynamics. By means of Maple, the Adomian polynomials of an obtained series solution have been calculated. The results reported in this paper provide further evidence of the usefulness of Adomian decomposition for obtaining solutions of nonlinear problems.

Key words:Adomian Decomposition Method; Higher-Order Nonlinear Schr¨odinger Equation;

Adomian Polynomials.

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