Results 31 to 40 of about 517 (92)

Equivalence group for generalized Kudryashov-Sinelshchikov equations of second order [PDF]

, 2020
Orientador: Yuri Dimitrov BozhkovTese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação CientíficaResumo: Nesta tese calculamos o grupo de equivalência contínuo para a equação generalizada de Kudryashov ...
Londoño Duque, Oscar Mario, 1979-
core  

Exact Solutions of the Kudryashov‐Sinelshchikov Equation Using the Multiple G′/G‐Expansion Method

Mathematical Problems in Engineering, Volume 2013, Issue 1, 2013., 2013
Exact traveling wave solutions of the Kudryashov‐Sinelshchikov equation are studied by the G′/G‐expansion method and its variants. The solutions obtained include the form of Jacobi elliptic functions, hyperbolic functions, and trigonometric and rational functions.
Yinghui He, Shaolin Li, Yao Long, Claude Lamarque   +3 more
wiley   +1 more source

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

Deriving Higher Order Rogue Waves Solutions in the Nonlinear System Using a Symbolic Computation Approach

, 2021
In this paper, we consider a novel multiple rogue wave solutions of a (3 +1)-dimensional Kudryashov-Sinelshchikov equation by using a symbolic computation approach.Some higher order rogue wave solutions of a (3 +1)-dimensional Kudryashov- Sinelshchikov ...
M. Y. Al-Bayatti, Hilal, Sapoor, H.
core   +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

A singular limit problem for the Kudryashov-Sinelshchikov equation

, 2017
We consider the Kudryashov-Sinelshchikov equation, which contains nonlinear dispersive effects. We prove that as the diffusion parameter tends to zero, the solutions of the dispersive equation converge to the entropy ones of the Burgers equation.
di Ruvo L., COCLITE, Giuseppe Maria
core   +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