Geodesic
The soliton solutions for the nonlinear Schr\"{o}dinger equation with self-consistent source
The Bulletin of Irkutsk State University. Series Mathematics, Tome 36 (2021), pp. 84-94

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In this paper by using Hirota’s method, the one and two soliton solutions of nonlinear Schrödinger equation with self-consistent source are studied. We have shown the evolution of the one and two soliton solutions in detail by using graphics.
Keywords: Schrödinger equation, nonlinear equations, Hirota's method.
Mots-clés : soliton solution 
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     title = {The soliton solutions for the nonlinear {Schr\"{o}dinger} equation with self-consistent source},
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A. A. Reyimberganov; I. D. Rakhimov. The soliton solutions for the nonlinear Schr\"{o}dinger equation with self-consistent source. The Bulletin of Irkutsk State University. Series Mathematics, Tome 36 (2021), pp. 84-94. http://geodesic.mathdoc.fr/item/IIGUM_2021_36_a6/