Results 21 to 30 of about 3,294 (150)

Influence of a laser pulse on thermoelasticity with temperature dependence under the dual-phase-lag model using improved modified extended tanh function method

open access: yesResults in Physics
In this paper, the improved modified extended tanh function method (IMETFM) is introduced for analyzing the influence of laser pulse on a thermo-elastic with temperature-dependence under a dual phase lag model (DPL).
Wafaa B. Rabie   +5 more
doaj   +2 more sources

Extended Tanh-Function Method and Its Applications in Nonlocal Complex mKdV Equations

open access: yesMathematics, 2022
In order to construct the multiple traveling wave solutions of the nonlocal modified Korteweg de Vires (mKdV) equation, the modified tanh-function approach for local soliton equations is extended to a nonlocal complex mKdV equation.
Xiaodong Wang   +3 more
doaj   +1 more source

Adequate wide-ranging closed-form wave solutions to a nonlinear biological model

open access: yesPartial Differential Equations in Applied Mathematics, 2021
The auxiliary equation method and the extended tanh function method are put in use to establish wide-ranging, further general and standard closed-form traveling wave solutions to the time fractional nonlinear biological model.
M. Al-Amin, M. Nurul Islam, M. Ali Akbar
doaj   +1 more source

Analytical and numerical treatment to the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation

open access: yesNonlinear Engineering, 2021
In this work, we study the (2 + 1)-dimensional Date-Jimbo-Kashiwara-Miwa (DJKM) equation. We employ the extended tanh function method and the simple equation method to achieve analytical soliton solutions.
Ali Khalid K.   +2 more
doaj   +1 more source

Exact Solutions and Non-Traveling Wave Solutions of the (2+1)-Dimensional Boussinesq Equation

open access: yesMathematics, 2022
By the extended (G′G) method and the improved tanh function method, the exact solutions of the (2+1) dimensional Boussinesq equation are studied. Firstly, with the help of the solutions of the nonlinear ordinary differential equation, we obtain the new ...
Lihui Gao   +3 more
doaj   +1 more source

Construction of solitons and other solutions for NLSE with Kudryashov’s generalized nonlinear refractive index

open access: yesAlexandria Engineering Journal, 2023
In our study we implement an improved modified extended tanh-function (IMETF) method for constructing new solitons and other types of solutions with NLSE having Kudryashov’s generalized nonlinear refractive index.
Manar Ahmed   +2 more
doaj   +1 more source

Optical solitons of the (2+1)-dimensional Biswas-Milovic equation using modified extended tanh-function method

open access: yes, 2021
In this paper, we study the novel exact solutions of the (2 + 1)-dimensional Biswas-Milovic equation for the description of pulse propagation in optical fiber. We successfully constructed some important solutions, such as dark, singular, combined dark-singular soliton, singular periodic wave and rational function solutions, have been analytically ...
Cinar, Melih   +5 more
openaire   +3 more sources

Constructions of the soliton solutions to coupled nonlinear Schrödinger equation with advanced mathematical techniques

open access: yesAIP Advances, 2023
In our research paper, we explore the application of mathematical techniques, both analytical and numerical, to solve the coupled nonlinear Schrödinger equation.
Taghread Ghannam Alharbi   +1 more
doaj   +1 more source

Derivation of new optical solitons for Biswas-Milovic equation with dual-power law nonlinearity using improved modified extended tanh-function method

open access: yesAlexandria Engineering Journal, 2023
Cubic-quartic optical solitons and other solutions for Biswas-Milovic equation with dual-power law nonlinearity are investigated using improved modified extended tanh-function method.
Nivan M. Elsonbaty   +3 more
doaj   +1 more source

Improved (G′/G)-expansion and extended tanh methods for (2 + 1)-dimensional Calogero–Bogoyavlenskii–Schiff equation

open access: yesAlexandria Engineering Journal, 2015
Traveling wave solutions of nonlinear (2 + 1)-dimensional Calogero–Bogoyavlenskii–Schiff equation are constructed by using improved (G′/G)-expansion and extended tanh-function methods. We demonstrate that some of the obtained exact solutions of these two
Muhammad Shakeel   +1 more
doaj   +1 more source

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