Analytic approximate solutions for some nonlinear Parabolic dynamical wave equations
نویسندگان
چکیده
منابع مشابه
Approximate Solutions to Second Order Parabolic Equations I: Analytic Estimates
We establish a new type of local asymptotic formula for the Green’s function of a parabolic operator with non-constant coefficients. Our procedure leads to a construction of approximate solutions to parabolic equations which are accurate to arbitrary prescribed order in time.
متن کاملExact travelling wave solutions for some complex nonlinear partial differential equations
This paper reflects the implementation of a reliable technique which is called $left(frac{G'}{G}right)$-expansion ethod for constructing exact travelling wave solutions of nonlinear partial differential equations. The proposed algorithm has been successfully tested on two two selected equations, the balance numbers of which are not positive integers namely Kundu-Eckhaus equation and Derivat...
متن کاملAlmost-sure Explosive Solutions of Some Nonlinear Parabolic Itô Equations
The paper is concerned with the problem of explosive solutions to a class of nonlinear parabolic Itô equations. Under some sufficient conditions on the initial state and the nonlinear coefficients, it will be shown that the solutions will explode in finite time almost surely. Theorem 3.1 is concerned with the existence of a unique local strong solution. The main result is presented in Theorem 3...
متن کاملTravelling Wave Solutions for Some Nonlinear Evolution Equations
Nonlinear partial differential equations are more suitable to model many physical phenomena in science and engineering. In this paper, we consider three nonlinear partial differential equations such as Novikov equation, an equation for surface water waves and the Geng-Xue coupled equation which serves as a model for the unidirectional propagation of the shallow water waves over a flat bottom. T...
متن کاملNew Exact Travelling Wave Solutions for Some Nonlinear Evolution Equations
In this paper sub-equation method with symbolic computational method is used for constructing the new exact travelling wave solutions for some nonlinear evolution equations arising in mathematical physics namely,the WBK, Z–K equation, and coupled nonlinear equations . As a result,the traveling wave solutions are obtained include, solitons, kinks and plane periodic solutions. It worthwhile to me...
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: Journal of Taibah University for Science
سال: 2020
ISSN: 1658-3655
DOI: 10.1080/16583655.2020.1741943