Results 11 to 20 of about 41 (38)
Journal of Applied Mathematics, 2018 A modified tanh-coth method with Riccati equation is used to construct several explicit solutions of (3+1)-dimensional Kudryashov-Sinelshchikov equations in bubble gas liquid flow. The solutions include solitons and periodic solutions. The method applied
Y. B. Chukkol +2 more
doaj +2 more sources
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 +2 more sources
Symmetry Classification and Solutions for the Third‐Order of Kudryashov–Sinelshchikov Equation
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 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 +3 more
wiley +1 more source
Global Exponential Stability of a Discrete‐Time Rayleigh System with Delays
Discrete Dynamics in Nature and Society, Volume 2021, Issue 1, 2021., 2021 This paper deals with the problem of global exponential stability for a discrete‐time Rayleigh system with delays. By using the mathematical induction method, some sufficient conditions are proposed for the global exponential stability of the discrete‐time Rayleigh system.
Bangyu Shen, Carmen Coll
wiley +1 more source
Advances in Difference Equations, 2020 Novel explicit wave solutions are constructed for the Kudryashov–Sinelshchikov (KS) equation through liquid–gas bubbles mix under the thermodynamic conditions.
Chen Yue +3 more
doaj +1 more source
Journal of Taibah University for Science, 2019 In this research, we constructed the exact travelling and solitary wave solutions of the Kudryashov–Sinelshchikov (KS) equation by implementing the modified mathematical method.
Aly R. Seadawy +2 more
doaj +1 more source
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 The traveling wave solutions and multiwave solutions to (3 + 1)‐dimensional Jimbo‐Miwa equation are investigated in this paper. As a result, besides the exact bounded solitary wave solutions, we obtain the existence of two families of bounded periodic traveling wave solutions and their implicit formulas by analysis of phase portrait of the ...
Lijun Zhang, C. M. Khalique, Weiguo Rui
wiley +1 more source
Mathematical Problems in Engineering, Volume 2013, Issue 1, 2013., 2013 Based on the F‐expansion method with a new subequation, an improved F‐expansion method is introduced. As illustrative examples, some new exact solutions expressed by the Jacobi elliptic function of the Kudryashov‐Sinelshchikov equation are obtained. When the modulus m of the Jacobi elliptic function is driven to the limits 1 and 0, some exact solutions
Yinghui He, Gradimir Milovanovic
wiley +1 more source
Mathematical Problems in Engineering, Volume 2013, Issue 1, 2013., 2013 In this paper, by using the integral bifurcation method, we studied the Kudryashov‐Sinelshchikov equation. In the special parametric conditions, some singular and nonsingular exact traveling wave solutions, such as periodic cusp‐wave solutions, periodic loop‐wave solutions, smooth loop‐soliton solutions, smooth solitary wave solutions, periodic double ...
Can Chen +3 more
wiley +1 more source
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 +3 more
wiley +1 more source