[PDF] Top 20 New Exact Explicit Solutions of the Generalized Zakharov Equation via the First Integral Method
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New Exact Explicit Solutions of the Generalized Zakharov Equation via the First Integral Method
... In order to explore new analysis solutions to the system 1, we attempted to use the first integral method to solve the generalized Zakharov equation for the first time.. The rest of the [r] ... See full document
9
Exact Solutions to the Generalized Benjamin Equation
... seeking exact solutions for nonlinear evolution equations (NLEES) plays an important role in mathematical ...scattering method [1], Hirota bilinear method [2], the tanh-function method ... See full document
7
Closed Form Exact Solutions to the Higher Dimensional Fractional Schrodinger Equation via the Modified Simple Equation Method
... and new exact solu- tion of higher dimensional time-fractional Schrodinger equation by making use of the modified simple equation method [27]-[34] and discuss effect of the in- cluded ... See full document
13
Study of Nonlinear Evolution Equations to Construct Traveling Wave Solutions via the New Approach of the Generalized (G'/G) Expansion Method
... Some new exact traveling wave solutions of the (3+1)-dimensional Zakharov-Kuznetsov equation and the Burgers equation are constructed in this article by applying the new ... See full document
11
Solitons And Periodic Solutions To The Generalized Zakharov-Kuznetsov Benjamin-Bona-Mahoney Equation
... mathematical method for finding new exact solutions of NLEEs has been proposed by Kudryashov in [9, 10], called the simplest equation ...useful method was successfully de- ... See full document
12
A New Approach for the Exact Solutions of Nonlinear Equations of Fractional Order via Modified Simple Equation Method
... proximation method [6] and generalized differential transform method [7] [8] have been used to find the numer- ical solutions for fractional order differential ...-expansion method was ... See full document
7
Explicit and Exact Traveling Wave Solutions of Cahn Allen Equation Using MSE Method
... wave solutions in nature is somewhat ...The solutions of these equations have crucial impact in mathematical physics and ...of solutions of NLEEs, which are mutual different operating mathematical ... See full document
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The new exact solitary wave solutions and stability analysis for the \((2+1)\) dimensional Zakharov–Kuznetsov equation
... paper, new traveling wave solutions using a relatively new technique, namely the new generalized exponential rational function method (GERFM) [25] and sta- bility analysis ... See full document
15
Initial Boundary Value Problem for a Generalized Zakharov Equations
... “New Exact traveling wave solutions of the (3 + 1) dimensional Kadomtsev-Petviashvili (KP) equation,” IAENG Interna- tional Journal of Applied Mathematics, ...“Exact solutions ... See full document
5
EXACT TRAVELLING WAVE SOLUTIONS FOR MANAKOV SYSTEM BY USING FIRST INTEGRAL METHOD
... the first integral method for finding new forms for the exact solutions of nonlinear coupled one- dimensional partial differential equations of Manakov ...the first ... See full document
7
Exact solutions of the 2D Ginzburg-Landau equation by the first integral method
... new method that is called the first integral method, we obtain some new exact solu- tions of Eq ...The first-integral method was first proposed ... See full document
8
New Explicit Exact Solutions of the One-Dimensional Parabolic-Parabolic Keller-Segel Model
... Investigating exact solutions of nonlinear evolution equations plays an important role in nonlinear ...sech solutions and kink-shaped tanh ...these solutions is significant for the ... See full document
8
Exact solutions of two nonlinear partial differential equations by using the first integral method
... first integral method are expressed. In Section , the method is employed for obtaining the exact solutions of double sine-Gordon (SG) and Burgers equations, and finally conclusions are ... See full document
9
New exact solutions for Kudryashov–Sinelshchikov equation
... differential equation which is solved analytically in [1] for special values of some integration ...some exact solutions and discussed properties of nonlinear waves in a liquid with gas ...the ... See full document
17
Generalized Exp $\phi(\xi))$-expansion Method for Solving Non-linear Evolution Equations
... differential equation, say in two independent variables x and t , is given by P ( u , u t , u x , u tt , u xt , u xx , L L L ) = 0 , ...expansion method are given: Step 1: The traveling wave variable u ( x ... See full document
7
Notes on the Lie Symmetry Exact Explicit Solutions for Nonlinear Burgers’ Equation
... [19] P. Hydon, Symmetry Methods for Differential EquationsµA Beginners Guide, Cambridge University Press, 2000. [20] G.Emanuel, Solution of Ordinary Differetial Equations by Continuous Groups, Florida: Chapman & ... See full document
8
A new method for constructing exact solutions for a time-fractional differential equation
... In the last decade FPDEs have attracted considerable interest. This kind of equa- tion plays an important role in various fields of sciences, for example engineering, elec- trochemistry, biology, economics, modeling, ... See full document
11
Classification of All Single Traveling Wave Solutions to (3 + 1) Dimensional Breaking Soliton Equation
... wave solutions and periodic wave solutions of Equation (2) by using a simple transformation relation and solving the ordinary differential ...some exact solutions of Equation (2) ... See full document
5
The Exact Rational Solutions to a Shallow Water Wave Like Equation by Generalized Bilinear Method
... In [21] [22], transcendental functions: exponential functions and trigonome- tric functions have been considered to find the resonant solutions for genera- lized bilinear equations. In the next section, we would ... See full document
7
New study to construct new solitary wave solutions for generalized sinh- Gordon equation
... balance method we explore a new application of this method for obtaining the new soliton solutions of the generalized sine–Gordon ...multiparameter exact solutions ... See full document
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