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New exact solutions of nonlinear conformable time-fractional Boussinesq equations using the modified Kudryashov method

Waves in Random and Complex Media, 2017
AbstractIn this paper, the nonlinear Boussinesq equations with the conformable time-fractional derivative are solved analytically using the well-established modified Kudryashov method. As a consequence, a number of new exact solutions for this type of equations are formally derived. It is believed that the method is one of the most effective techniques
Reza Ansari
exaly   +2 more sources

Dynamical solitons and other solutions for nonlinear Biswas–Milovic equation with Kudryashov’s law by improved modified extended tanh-function method

Optik, 2021
Abstract In this work, optical solitons of nonlinear Biswas–Milovic equation with Kudryashov’s law are obtained by using the improved modified extended tanh-function method. This method reveals several optical solitons including traveling wave solutions.
Hamdy Ahmed, Wafaa B Rabie
exaly   +2 more sources

Modified Kudryashov method and its application to the fractional version of the variety of Boussinesq-like equations in shallow water

Optical and Quantum Electronics, 2018
The present study emphasis to look for new closed form exact solitary wave solutions for the variety of fractional Boussinesq-like equations using the modified Kudryashov method with the help of symbolic computation. As a consequence, the modified Kudryashov method is successfully employed and acquired some new exact solitary wave solutions in terms of
Mohammad Taghi Darvishi, Dipankar Kumar
exaly   +2 more sources

Modified Kudryashov method via new exact solutions for some conformable fractional differential equations arising in mathematical biology

Chinese Journal of Physics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aly R Seadawy, Dipankar Kumar
exaly   +2 more sources

On the investigation of chiral solitons via modified new Kudryashov method

International Journal of Geometric Methods in Modern Physics, 2023
Purpose: This study includes the examination of the cases where the [Formula: see text]-dimensional chiral nonlinear Schrödinger equation also has Bohm potential. This review is not to obtain different soliton solutions for both cases but to obtain a certain type of soliton and to observe the effect of the problem parameters.
Muslum Ozisik   +2 more
openaire   +2 more sources

Traveling wave solutions to nonlinear directional couplers by modified Kudryashov method

Physica Scripta, 2020
Abstract This work finds several new traveling wave solutions for nonlinear directional couplers with optical metamaterials by means of the modified Kudryashov method. This model can be used to distribute light from a main fiber into one or more branch fibers. Two forms of optical couplers are considered, namely the twin- and multiple-
H M Srivastava   +6 more
openaire   +1 more source

Obtaining analytical solutions of (2+1)-dimensional nonlinear Zoomeron equation by using modified F-expansion and modified generalized Kudryashov methods

Engineering Computations, 2023
PurposeThe purpose of the article is to conduct a mathematical and theoretical analysis of soliton solutions for a specific nonlinear evolution equation known as the (2 + 1)-dimensional Zoomeron equation. Solitons are solitary wave solutions that maintain their shape and propagate without changing form in certain nonlinear wave equations.
Muslum Ozisik, A. Secer, Mustafa Bayram
openaire   +2 more sources

New exact solution of the conformable Gilson–Pickering equation using the new modified Kudryashov’s method

International Journal of Modern Physics B, 2020
In this paper, a new exact solution of the conformable Gilson–Pickering equation is investigated. It should be noted that some of the individual cases of the Gilson–Pickering equation are the conformable Camassa–Holm, the conformable Fornberg–Whitham, and the conformable Rosenau–Hyman equations.
Hadi Rezazadeh   +3 more
openaire   +1 more source

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