Investigation on dynamical perspective of soliton solutions to the nonlinear integrable Akbota equation through a generalized analytical technique. [PDF]
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Investigating the stochastic higher dimensional nonlinear Schrodinger equation to telecommunication engineering. [PDF]
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Dynamical behavior of analytical solutions and bifurcation analysis for a novel structured (2+1)-dimensional Kadomtsev-Petviashvili equation via analytic approach. [PDF]
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Analytical investigation of soliton propagation in conformable fractional-order transmission line metamaterials. [PDF]
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Optical solutions to the time fractional Akbota equation arising in nonlinear optics via two distinct methods. [PDF]
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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.
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Application of the modified Kudryashov method to the generalized Schrödinger–Boussinesq equations
Optical and Quantum Electronics, 2018In the paper, the modified Kudryashov method is applied to find new exact solutions for the generalized Schrodinger–Boussinesq equation with the help of symbolic computation package Maple through the complex transform. The obtained solutions have been checked by substituting back into its corresponding equation with the aid of Maple package program.
Dipankar Kumar, Melike Kaplan
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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
K. Hosseini, R. Ansari
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Abstract Our concern in the present paper is to generate a few new explicit and exact solutions for the time-fractional Cahn–Allen and Cahn–Hilliard equations in the context of the conformable fractional derivative. A new version of Kudryashov method with the help of the Maple package is utilized to carry out this purpose.
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On the investigation of chiral solitons via modified new Kudryashov method
International Journal of Geometric Methods in Modern Physics, 2023Purpose: 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.
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