Results 11 to 20 of about 3,363 (248)

Analytical wave solutions in thermoelastic media with temperature-dependent properties via IMETF method. [PDF]

Sci Rep
This study delivers an in-depth analytical investigation of exact wave solutions derived within the context of the Three-Phase-Lag (3PHL) generalized thermoelasticity model, explicitly incorporating the temperature dependence of material properties.
Ismail MF, Ahmed HM, Safwat S, Ramadan ME, Abdalla NSE, Soliman M.   +5 more
europepmc   +2 more sources

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

Results 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, Hamdy M. Ahmed, Abdallah A. Syied, Assmaa Abd-Elmonem, Nagat A.A. Suoliman, Mohamed F. Ismail   +5 more
doaj   +2 more sources

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

Mathematics, 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, Jianping Wu, Yazi Wang, Can Chen   +3 more
doaj   +1 more source

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

Partial 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

Nonlinear 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., Mehanna Mona S., Wazwaz Abdul-Majid   +2 more
doaj   +1 more source

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

Mathematics, 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, Chunxiao Guo, Yanfeng Guo, Donglong Li   +3 more
doaj   +1 more source

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

Alexandria 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, Afaf Zaghrout, Hamdy M. Ahmed   +2 more
doaj   +1 more source

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

, 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, Onder, Ismail, Secer, Aydin, Sulaiman, Tukur Abdulkadir, Yusuf, Abdullahi, Bayram, Mustafa   +5 more
openaire   +3 more sources

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

AIP 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, Abdulghani 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

Alexandria 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, Niveen M. Badra, Hamdy M. Ahmed, Ahmed M. Elsherbeny   +3 more
doaj   +1 more source