Results 11 to 20 of about 1,885 (105)

Lie Symmetry Analysis of Kudryashov‐Sinelshchikov Equation [PDF]

Mathematical Problems in Engineering, 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.
Nadjafikhah, Mehdi, Shirvani-Sh, Vahid
wiley   +5 more sources

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

Mathematical Problems in Engineering, 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.
He, Bin, Meng, Qing, Zhang, Jinhua, Long, Yao   +3 more
wiley   +5 more sources

F-Expansion Method and Its Application for Finding New Exact Solutions to the Kudryashov-Sinelshchikov Equation [PDF]

Journal of Applied Mathematics, 2013
Based on the F-expansion method, and the extended version of F-expansion method, we investigate the exact solutions of the Kudryashov-Sinelshchikov equation. With the aid of Maple, more exact solutions expressed by Jacobi elliptic function are obtained.
Yun-Mei Zhao
doaj   +5 more sources

Symmetry Classification and Solutions for the Third-Order of Kudryashov–Sinelshchikov Equation

Mathematical Problems in Engineering, 2022
This paper studies nonlinear wave propagation in a bubble-liquid mixture based on the third-order Kudryashov–Sinelshchikov (KS) equation. Symmetry is classified and reduced through the symmetry group method. Through the generalized conditional symmetry method, this equation is classified, and the generalized conditional symmetry considered are second ...
Jina Li, null Hong Li, null Tianhao Li
semanticscholar   +3 more sources

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

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   +5 more sources

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

Mathematical Methods in the Applied Sciences, Volume 47, Issue 2, Page 891-906, 30 January 2024., 2023
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   +3 more sources

Pattern Formation of a Bubbly Fluid Mixture under the Effect of Thermodynamics via Kudryashov-Sinelshchikov Model

Journal of Mathematics, 2022
In this paper, new explicit wave solutions via liquid-gas bubbles are obtained for the fractional Kudryashov-Sinelshchikov (KS) equation under thermodynamic assumptions.
Abdel-Haleem Abdel-Aty, Nauman Raza, Amna Batool, Emad E. Mahmoud, Ibrahim S. Yahia, El Sayed Yousef   +5 more
doaj   +2 more sources

Optimal system, reductions and Lie algebra classification for Kudryashov–Sinelshchikov equations of second order

Examples and Counterexamples, 2021
In this work, the optimal system associated to the second order Kudryashov–Sinelshchikov equation is calculated. Such optimal system is obtained from the Lie symmetry group corresponding to the equation previously mentioned and using this algebra we are ...
O.M.L. Duque, Danilo A. García Hernández, G. Loaiza, Y. Acevedo   +3 more
doaj   +2 more sources

On the solutions for the Kudryashov-Sinelshchikov equation

Nonlinear Differential Equations and Applications NoDEA
Abstract The Kudryashov-Sinelshchikov equation models the evolution of the long weakly nonlinear waves, taking into consideration liquid viscosity, inter-phase heat transfer and surface tension. It models also the evolution of nonlinear sound wave propagation in bubbly liquids.
Coclite, Giuseppe Maria, di Ruvo, Lorenzo   +1 more
openaire   +3 more sources

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   +2 more sources