Solitary Wave Solution of a Generalized Fractional–Stochastic Nonlinear Wave Equation for a Liquid with Gas Bubbles
نویسندگان
چکیده
In the sense of a conformable fractional operator, we consider generalized fractional–stochastic nonlinear wave equation (GFSNWE). This may be used to depict several physical phenomena occurring in liquid containing gas bubbles. The analytical solutions GFSNWE are obtained by using F-expansion and Jacobi elliptic function methods with Riccati equation. Due presence noise derivative, some that were achieved shown together their interpretations.
منابع مشابه
Construction of a solitary wave solution for the generalized Zakharov equation by a variational iteration method
In this paper, the well-known He’s variational iteration method (VIM) is used to construct solitary wave solutions for the generalized Zakharov equation (GZE). The chosen initial solution (trial function) can be in soliton form with some unknown parameters, which can be determined in the solution procedure. c © 2007 Elsevier Ltd. All rights reserved.
متن کاملNew study to construct new solitary wave solutions for generalized sinh- Gordon equation
In this work, we successfully construct the new exact traveling wave solutions of the generalized Sinh–Gordon equation by new application of the homogeneous balance method. The idea introduced in this paper can be applied to other nonlinear evolution equations.
متن کاملSolitary wave solution for a non-integrable, variable coefficient nonlinear Schrödinger equation
Abstract A non-integrable, variable coefficient nonlinear Schrödinger equation which governs the nonlinear pulse propagation in an inhomogeneous medium is considered. The same equation is also applicable to optical pulse propagation in averaged, dispersion-managed optical fiber systems, or fiber systems with phase modulation and pulse compression. Multi-scale asymptotic techniques are employed ...
متن کاملGlobal Strong Solution to a Nonlinear Dispersive Wave Equation
In this paper, compared with the previous results, a new global existence for strong solutions to the equation is acquired provided that the potential (1−∂2 x)u0 changes sign on R, which improves considerably the previous result. Mathematics Subject Classification: 35G25, 35L05, 35Q35
متن کاملStability analysis of solitary wave solutions for the fourth-order nonlinear Boussinesq water wave equation
In the present study, the nonlinear Boussinesq type equation describe the bi-directional propagation of small amplitude long capillary–gravity waves on the surface of shallow water. By using the extended auxiliary equation method, we obtained some new soliton like solutions for the two-dimensional fourth-order nonlinear Boussinesq equation with constant coefficient. These solutions include symm...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematics
سال: 2023
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math11071692