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Central Asian Problems of Modern Science and Education

Abstract

Nonlinear loaded equations have important physical applications. Therefore, it is always interesting to find its soliton solutions. In this paper by using Hirota method, the soliton solutions of loaded nonlinear Schrodinger equation are studied.

First Page

85

Last Page

91

References

[1] A. M. Nakhushev, Holistic finite differences accurately model the dynamics of the Kuramoto–Sivashinsky equation, Diffierents. Uravn., 21 (1985), p. 92–10 [2] B. B. Kadomtsev and V. I. Karpman, Nonliner waves, Sov. Phys. Usp., 14 (1971), pp. 40–60 [3] J. R. Cannon and H. M. Yin, On a class of nonlinear nonclassical parabolic problems, J. Diffierent. Equat., 79 (1989), pp. 266–288 [4] Li ZL. Constructing of new exact solutions to the GKdV -mKdV equation with any-order nonlinear terms by (G’/G)-expansion method. Appl. Math. Comput. 2010;217:1398–1403. [5] E. M. Zayed, The (G’/G)-expansion method and its applications to some nonlinear evolution equations in the mathematical physics. J. Appl. Math. Comput. 2009;30:89–103.

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