Periodic wave solutions of non-Newtonian filtration equations with nonlinear sources and singularities
نویسندگان
چکیده
This paper is concerned with a kind of non-Newtonian filtration equation nonlinear sources and singularities. Based on the mountain pass theorem variational methods, sufficient criterion for new results periodic wave solutions has been provided. Here not only structure more general practical than existing works but conditions imposed are concise. Consequently, compared previous singular equations equations, we established generalized some ones can complemented improved. Finally, effectiveness validated via two numerical examples simulations.
منابع مشابه
Periodic Wave Shock solutions of Burgers equations
In this paper we investigate the exact peroidic wave shock solutions of the Burgers equations. Our purpose is to describe the asymptotic behavior of the solution in the cauchy problem for viscid equation with small parametr ε and to discuss in particular the case of periodic wave shock. We show that the solution of this problem approaches the shock type solution for the cauchy problem of the in...
متن کاملPeriodic Solutions of Nonlinear Wave Equations
where f is a given continuous function in R 3 and f is T-periodic in t and s. Periodic solutions of nonlinear hyperbolic partial differential equations have been studied extensively in the recent years [1, 6, 7, 8, 9, 10, 11, 12, 13, 14]. The two approaches that have been used are: (i) reduction to an alternative problem and (ii) the Galerkin method and passage to the limit through a sequence o...
متن کاملSolitons and Periodic Wave Solutions for Coupled Nonlinear Equations
In this work we apply the tanh-coth method and the tan-cot method to study some nonlinear coupled equations. Four nonlinear coupled equations that appear in a variety of scientific applications are investigated. We derive soliton, singular solitons and periodic wave solutions for these coupled equations. The obtained results show that these four coupled equations reveal richness of explicit sol...
متن کاملInfinitely Many Periodic Solutions of Nonlinear Wave Equations on S
The existence of time periodic solutions of nonlinear wave equations utt −∆nu + ` n− 1 2 ́2 u = g(u)− f(t, x) on n-dimensional spheres is considered. The corresponding functional of the equation is studied by the convexity in suitable subspaces, minimax arguments for almost symmetric functional, comparison principles and Morse theory. The existence of infinitely many time periodic solutions is o...
متن کاملNew explicit and Soliton Wave Solutions of Some Nonlinear Partial Differential Equations with Infinite Series Method
To start with, having employed transformation wave, some nonlinear partial differential equations have been converted into an ODE. Then, using the infinite series method for equations with similar linear part, the researchers have earned the exact soliton solutions of the selected equations. It is required to state that the infinite series method is a well-organized method for obtaining exact s...
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: Filomat
سال: 2021
ISSN: ['2406-0933', '0354-5180']
DOI: https://doi.org/10.2298/fil2107277x