Results 21 to 30 of about 4,854,822 (190)

Numerical study on the generation and evolution of the super-rogue waves

Journal of Ocean Engineering and Science, 2016
The super-rogue wave solutions of the nonlinear Schrödinger equation (NLS) are numerically studied based on the weakly nonlinear hydrodynamic equation. The super-rogue wave solutions up to the 5th order, also known as the so-called super-rogue waves, are
Jianmin Yang, Wenyue Lu
doaj   +1 more source

The Improved exp⁡-Φξ-Expansion Method and New Exact Solutions of Nonlinear Evolution Equations in Mathematical Physics

Advances in Mathematical Physics, 2019
The exp(-Φ(ξ))-expansion method is improved by presenting a new auxiliary ordinary differential equation for Φ(ξ). By using this method, new exact traveling wave solutions of two important nonlinear evolution equations, i.e., the ill-posed Boussinesq ...
Guiying Chen, Xiangpeng Xin, Hanze Liu
doaj   +1 more source

The closed form solutions of simplified MCH equation and third extended fifth order nonlinear equation

Propulsion and Power Research, 2019
The investigation of closed form solutions for nonlinear evolution equations (NLEEs) is being an attractive subject in the different branches of mathematical and physical sciences. In this article, the enhanced (G′/G)-expansion method has been applied to
A.K.M. Kazi Sazzad Hossain, M. Ali Akbar, Md. Abul Kalam Azad   +2 more
doaj   +1 more source

Finding exact solutions for selected nonlinear evolution differential equations [PDF]

, 2023
Burgers, Breaking Soliton and Boussinesq equations are applicable in different areas of physics. Searching their real solutions are particularly important.
Mohammed, Mayada G.., Strunin, Dmitry V., Bhanot, Rajeev P.   +2 more
core   +1 more source

Asymptotic stability for a nonlinear evolution equation [PDF]

, 2004
summary:We establish the asymptotic stability of solutions of the mixed problem for the nonlinear evolution equation $(|u_t|^{r-2}u_t)_t-\Delta u_{tt}-\Delta u-\delta\Delta u_t=f(u)$
Hongwei, Zhang, Guowang, Chen
core   +1 more source

The Simplest Equation Method and Its Application for Solving the Nonlinear NLSE, KGZ, GDS, DS, and GZ Equations

Journal of Applied Mathematics, 2013
A good idea of finding the exact solutions of the nonlinear evolution equations is introduced. The idea is that the exact solutions of the elliptic-like equations are derived using the simplest equation method and the modified simplest equation method ...
Yun-Mei Zhao, Ying-Hui He, Yao Long
doaj   +1 more source

Soliton equations: admitted solutions and invariances via B\"acklund transformations [PDF]

Open Communications in Nonlinear Mathematical Physics
A couple of applications of B\"acklund transformations in the study of nonlinear evolution equations is here given. Specifically, we are concerned about third order nonlinear evolution equations.
Sandra Carillo, Cornelia Schiebold
doaj   +1 more source

The Riccati Equation Mapping Method for Solving Nonlinear Partial Differential Equations in Mathematical Physics

Walailak Journal of Science and Technology, 2013
In this article, many new exact solutions of the (2+1)-dimensional nonlinear Boussinesq-Kadomtsev-Petviashvili equation and the (1+1)-dimensional nonlinear heat conduction equation are constructed using the Riccati equation mapping method.
Elsayed Mohamed Elsayed ZAYED, Hoda Ibrahim Sayed AHMED   +1 more
doaj   +1 more source

Superposition in Nonlinear Wave and Evolution Equations [PDF]

International Journal of Theoretical Physics, 2006
Real and bounded elliptic solutions suitable for applying the Khare-Sukhatme superposition procedure are presented and used to generate superposition solutions of the generalized modified Kadomtsev-Petviashvili equation (gmKPE) and the nonlinear cubic-quintic Schroedinger equation (NLCQSE).
Schürmann, H. W., Serov, V. S., Nickel, J.   +2 more
openaire   +2 more sources

Application of Generalized Logistic Function to Travelling Wave Solutions for a Class of Nonlinear Evolution Equations

Mathematics, 2022
The generalized Logistic function that solves a first-order nonlinear ODE with an arbitrary positive power term of the dependent variable is introduced in this paper, by means of which the traveling wave solutions of a class of nonlinear evolution ...
Lingxiao Li, Mingliang Wang, Jinliang Zhang   +2 more
doaj   +1 more source