In this paper by using Hirota’s method, the one and two soliton solutions of nonlinear Schr¨odinger equation with self-consistent source are studied. We have shown the evolution of the one and two soliton solutions in detail by using graphics.

Anvar Reyimberganov, Cand. Sci. (Phys.–Math.), Assoc. Prof., Urgench State University, 14, Kh. Alimdjan str., Urgench, 220100, Republic of Uzbekistan, tel.:+9(9862)224-67-00, email: anvar@urdu.uz

Ilkham Rakhimov, PhD Student, Department of ”Applied mathematics and mathematic physics”, Urgench State University, 14, Kh. Alimdjan str., Urgench, 220100, Republic of Uzbekistan, tel.:+9(9862)224-67-00, email: ilham.rahimov.87@mail.ru

Reyimberganov A.A., Rakhimov I.D. The Soliton Solutions for the Nonlinear Schrodinger Equation with Self-consistent Sources. The Bulletin of Irkutsk State University. Series Mathematics, 2021, vol. 35, pp. 84-94. https://doi.org/10.26516/1997-7670.2021.36.84

soliton solution, Schrödinger equation, nonlinear equations, Hirota’s method.

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