Analytical Solutions of Nonlinear Beta Fractional Schrödinger Equation Via Sine-Cosine Method


Ala V. Shaikhova G.
November 2022Pleiades Publishing

Lobachevskii Journal of Mathematics
2022#43Issue 113033 - 3038 pp.

Abstract: In this work, the sine-cosine method is used to construct the analytical solutions of nonlinear time fractional Schröinger equation described by beta derivative. Applying the proposed method, we get the new exact solutions of the considered equation. Moreover, we plot the 2D–3D figures according to the suitable parameters by the aid of computer software. It is inferred from the results that the proposed method is effective, powerful and straightforward for new exact solutions of nonlinear partial differential equations containing fractional derivatives arising in mathematical physics.

beta-derivative , Schrödinger equation , the sine-cosine method

Text of the article Перейти на текст статьи

Mersin University, Science and Letters Faculty, Mathematics Department, Mersin, 33343, Turkey
Gumilyov Eurasian National University, Nur-Sultan, 010000, Kazakhstan

Mersin University
Gumilyov Eurasian National University

10 лет помогаем публиковать статьи Международный издатель

Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026