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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2021 Volume 200, Pages 3–10 (Mi into894)

On an application of improved Bernoulli sub-equation function method to the nonlinear conformable time-fractional regularized long wave equation

V. Ala, U. Demirbilek, Kh. R. Mamedov

University of Mersin

Abstract: The nonlinear conformable time-fractional regularized long wave equation (RLWE) plays an important role in physics. This equation is an interesting model describing ion-acoustic and space waves with weak nonlinearity. In this paper, we solve the RLWE using the improved Bernoulli sub-equation function method. New exact solutions are constructed and their graphs are plotted.

Keywords: conformable time-fractional derivative, regularized long wave equation, improved Bernoulli sub-equation function method.

UDC: 517.9

MSC: 35C08, 34K20, 32W50.

DOI: 10.36535/0233-6723-2021-200-3-10



© Steklov Math. Inst. of RAS, 2024