exact solutions
A new method for constructing exact solutions for a time-fractional differential equation
... obtaining exact solutions of Eq. (1.1) in three separated cases. New exact solutions with the aid of obtained solutions, are presented in section ...
11
Exact solutions of nonlinear interval Volterra integral equations
... the exact solutions of NIVIEs with less computation as compared with standard Laplace decomposition method, even there is no noise in the original ...
14
Explicit exact solutions for variable coefficient Broer-Kaup equations
... soliton solutions [12, 19, 25] and variety of other techniques are used to investigate constant coefficient Broer–Kaup equation [1,5,7, ...and exact solutions have been constructed using several other ...
8
Knotted optical vortices in exact solutions to Maxwell's equations
... our solutions are based on the Bateman construction, it follows from a recent result by Goulart [29] that they are also exact solutions of nonlinear ...
5
Two Exact Solutions Illustrating the Schwarzschild Singularity’s Resolution
... In single body case, the hint of matter’s oscillation inside the horizon could be seen in some theoretical examination. For example, to recover Hawking radiation’s unitarity and to get proper interpretation for the ...
14
EXACT SOLUTIONS FOR SOME NONLINEAR FRACTIONAL PARABOLIC EQUATIONS
... (3) By using tanh-coth method. These equations discussed by wazwaz[1] when .This paper is arranged as follows: In Section 2, we present concepts that make the chain rule is valid for fractional derivatives. In Section 3, ...
17
The extended homogeneous balance method and exact solutions of the Maccari system
... the exact solutions of nonlinear PDEs have been presented, such as homogeneous balance method [1-4], tanh method [5-7], Jacobian elliptic function expansion method [8], first integral method [9-11] and so ...
8
Variable Separation and Exact Solutions for the Kadomtsev Petviashvili Equation
... seek exact solutions were proposed, for example, the tanh-coth method, the Exp-function method, the Jacobian function method, the Hirotas bilinear form method, the two-soliton method, extended three-wave ...
6
Exact solutions for hydrodynamic interactions of two squirming spheres
... deduce exact solutions that are not currently available by any other ...no exact closed-form solution, although there is a scheme in terms of a set of difference equations that could be solved ...
30
Kudryashov method for exact solutions of isothermal magnetostatic atmospheres
... the exact analytical solutions for the Liouville and sinh-Poisson equations using the Kudryashov ...obtain exact solutions of the Liouville and sinh-Poisson equations in Section ...
11
New Exact Solutions and Numerical Approximations of the Generalized
... Over many years, most of the difficultiest and interesting natural phenomena being analyzed by mathematicians, physicists, engineers and other scientists are nonlinear in nature. These natural phenomena can be ...
21
New Exact Solutions for an Oldroyd B Fluid in a Porous Medium
... New exact solutions for unsteady magnetohydrodynamic MHD flows of an Oldroyd-B fluid have been ...corresponding solutions for hydrodynamic Oldroyd- B fluid in a nonporous space appeared as the ...
13
On Some Complex Exact Solutions for Charap’s Equations in a Generalized Form
... Chakraborty and Chanda [7] obtained the complex solutions with the attempt to generate exact solutions for the Yang’s equations from some trivial solutions of the same equation. This is a part ...
8
On Exact Solutions of Second Order Nonlinear Ordinary Differential Equations
... Exact solutions have always played and still play an important role in properly understanding the qualitative features of many phenomena and processes in various fields of natural ...science. Exact ...
5
New Exact Solutions of the Modified Benjamin Bona Mahony Equation
... the exact solutions of NLEEs has long been one of the central themes of perpetual in mathematics and ...find exact solutions of NLEEs, such as the bifurcation method of dynamic system[1-3],the ...
6
Exact Solutions and Localized Structures for Higher Dimensional Burgers Systems
... The organization of the paper is as follows. In Section 2, a general functional separation solution containing two arbitrary functions is obtained for 1.1. Equation 1.2 is transformed into a single heat equation by a ...
10
Exact Solutions for a Compound KDV-Burgers Equation with Forcing Term
... The exact solutions of a compound KdV-Burgers equation with forcing term are obtained by using a homogeneous balance ...the solutions for compound KdV, mKdV-Burgers, KdV- Burgers ,mKdV and KdV ...
11
Exact solutions of (3 +1)-dimensional nonlinear evolution equations
... There are many efforts to solve Eq.(3.1). Tang and Liang applied the multi-linear variable separation scheme to Eq.(3.1) [15]. In [5] the Hi- rotas bilinear formalism was employed to obtain three-soliton ...
7
Developed smectics : when exact solutions agree
... When subject to frustrating boundary conditions or extreme strains, liquid crystals, superfluids, and mag- nets will locally rise into their higher-symmetry phases resulting in point, line, and planar defects [1]. ...
6
Exact Solutions to the Boussinesq Burgers Equations
... given solutions of the linear equation, various exact solutions, includ- ing solitary wave solutions, rational solutions, the solutions containing hyperbolic functions and the ...
5