Results 21 to 30 of about 41 (38)

Solitary traveling wave solutions of pressure equation of bubbly liquids with examination for viscosity and heat transfer

Results in Physics, 2018
In this research, we investigate one of the most popular model in nature and also industrial which is the pressure equation of bubbly liquids with examination for viscosity and heat transfer which has many application in nature and engineering ...
Mostafa M.A. Khater, Aly R. Seadawy, Dianchen Lu   +2 more
doaj   +1 more source

Periodic Loop Solutions and Their Limit Forms for the Kudryashov‐Sinelshchikov Equation

Mathematical Problems in Engineering, Volume 2012, Issue 1, 2012., 2012
The Kudryashov‐Sinelshchikov equation is studied by using the bifurcation method of dynamical systems and the method of phase portraits analysis. We show that the limit forms of periodic loop solutions contain loop soliton solutions, smooth periodic wave solutions, and periodic cusp wave solutions.
Bin He, Qing Meng, Jinhua Zhang, Yao Long, Stefano Lenci   +4 more
wiley   +1 more source

Lie Symmetry Analysis of Kudryashov‐Sinelshchikov Equation

Mathematical Problems in Engineering, Volume 2011, Issue 1, 2011., 2011
The Lie symmetry method is performed for the fifth‐order nonlinear evolution Kudryashov‐Sinelshchikov equation. We will find ones and two‐dimensional optimal systems of Lie subalgebras. Furthermore, preliminary classification of its group‐invariant solutions is investigated.
Mehdi Nadjafikhah, Vahid Shirvani-Sh, Yuri Vladimirovich Mikhlin   +2 more
wiley   +1 more source

Retrieval of the optical soliton solutions of the perturbed Schrödinger–Hirota equation with generalized anti‐cubic law nonlinearity having the spatio‐temporal dispersion

Mathematical Methods in the Applied Sciences, Volume 48, Issue 2, Page 2164-2178, 30 January 2025.
In this study, we obtained optical soliton solutions of the perturbed nonlinear Schrödinger–Hirota equation with generalized anti‐cubic law nonlinearity in the presence of spatio‐temporal dispersion. This equation models the propagation of optical pulses in fiber optic cables.
Ismail Onder, Aydin Secer, Muslum Ozisik, Mustafa Bayram   +3 more
wiley   +1 more source

A Class of Solitary and Periodic Wave Structures Related to a Dual‐Mode Benjamin‐Bona‐Mahony Equation in Fluid Flow

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
This study presents the Benjamin‐Bona‐Mahony equation, a new mathematical model for nonlinear wave propagation in medium with just spatial dispersion. The suggested model only considers spatial derivatives, hence representing pure spatial dispersion, in contrast to the traditional formulation that incorporates mixed space‐time derivatives in its ...
Saima Arshed, Minal Irshad, Mustafa Bayram, Nauman Raza, Sina Etemad, Mohammad Rezwan Habib   +5 more
wiley   +1 more source

Dynamical Structure of the Soliton Solution of M‐Fractional (2 + 1)‐Dimensional Heisenberg Ferromagnetic Spin Chain Model Through Advanced exp(−ϕ(ξ))‐Expansion Schemes in Mathematical Physics

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
In this piece of work, we give the particular traveling wave answers for the truncated time M‐fractional (2 + 1)‐Heisenberg ferromagnetic spin chain model that is researched by executing the advanced exp (−φ(ξ)) expansion technique. In order to reconnoiter such dynamics, the advanced exp(−φ(ξ)) expansion method integrates the truncated time M ...
Sakhawat Hossain, M. M. Rahman, Md. Habibul Bashar, Shimul Biswas, Md Mamunur Roshid, Tudor Barbu   +5 more
wiley   +1 more source

Exact solutions to a family of position‐dependent mass damped oscillators from variational λ‐symmetries

Mathematical Methods in the Applied Sciences, Volume 47, Issue 2, Page 891-906, 30 January 2024.
A wide family of position‐dependent mass damped oscillators affected by an external potential is investigated. First, a Lagrangian formulation is introduced for the corresponding problem. The Lagrangian function is time‐dependent, and the problem cannot be approached with classical procedures because it lacks variational symmetries.
Adrián Ruiz Serván, María Concepción Muriel Patino   +1 more
wiley   +1 more source

Exact solutions of the Kudryashov–Sinelshchikov equation and nonlinear telegraph equation via the first integral method

Nonlinear Analysis, 2012
In this article we find the exact traveling wave solutions of the Kudryashov–Sinelshchikov equation and nonlinear telegraph equation by using the first integral method. This method is based on the theory of commutative algebra. This method can be applied
Mohammad Mirzazadeh, Mostafa Eslami
doaj  

Resonant soliton molecules, asymmetric solitons and the other diverse wave solutions to the (3 + 1)-dimensional generalized Kudryashov-Sinelshchikov equation for liquid with gas bubbles

Results in Physics
Under the present study, we focus on developing some exact solutions of the (3 + 1)-dimensional generalized Kudryashov-Sinelshchikov equation (KSE) for the liquid with gas bubbles.
Peng Xu, Huan Huang, Chun Shan, Kang-Jia Wang   +3 more
doaj   +1 more source

Numerical Simulation of the Kudryashov–Sinelshchikov Equation for Modeling Pressure Waves in Liquids with Gas Bubbles

Mathematics
The Kudryashov–Sinelshchikov equation (KSE) is crucial in modeling pressure waves in liquids containing gas bubbles, capturing both nonlinear wave phenomena and dispersion effects.
Gayatri Das, Bibekananda Sitha, Rajesh Kumar Mohapatra, Predrag Stanimirović, Tzung-Pei Hong   +4 more
doaj   +1 more source