Exact Solutions of two-Dimensional Nonlinear Schrödinger Equations with External Potentials
Applied and Computational Mathematics
Volume 2, Issue 6, December 2013, Pages: 152-158
Received: Dec. 12, 2013; Published: Dec. 30, 2013
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Authors
Nalan Antar, Department of Mathematics, Istanbul Technical University, Maslak 34469, Istanbul, Turkey
Nevin Pamuk, University of Kocaeli, Kocaeli Vocational High School, Kullar, 41300, Kocaeli – TURKEY
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Abstract
In this paper, exact solutions of two-dimensional nonlinear Schrödinger equation with kerr, saturable and quintic type of nonlinearities are studied by means of the Homotopy analysis method (HAM). Linear stability properties of these solutions are investigated by the linearized eigenvalue problem. We also investigate nonlinear stability properties of the exact solutions obtained by HAM by direct simulations.
Keywords
Homotopy Analysis Method, Nonlinear Schrödinger Equation, Stability
To cite this article
Nalan Antar, Nevin Pamuk, Exact Solutions of two-Dimensional Nonlinear Schrödinger Equations with External Potentials, Applied and Computational Mathematics. Vol. 2, No. 6, 2013, pp. 152-158. doi: 10.11648/j.acm.20130206.18
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