[PDF] Top 20 EXACT TRAVELLING WAVE SOLUTIONS FOR MANAKOV SYSTEM BY USING FIRST INTEGRAL METHOD
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EXACT TRAVELLING WAVE SOLUTIONS FOR MANAKOV SYSTEM BY USING FIRST INTEGRAL METHOD
... where 1 2 ( = 0,1, … … . , 7 are polynomials of and all relatively prime in '[ , ] , 1 3 ≠ 0 . Equation (13) is also called the first integral to (12). Assuming that m=2, note that 9 is a polynomial in and ... See full document
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Classification of All Single Traveling Wave Solutions to (3 + 1) Dimensional Breaking Soliton Equation
... exact solutions. Recently, a me- thod named the complete discrimination system for polynomial method has been proposed by Liu ...Liu’s method, we can obtain the classification of single ... See full document
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Exact solutions of two nonlinear partial differential equations by using the first integral method
... general solutions of () can be obtained ...first integral. Since for a plane autonomous system, there is no methodical theory which gives us first integrals, we will therefore ap- ply the division ... See full document
9
Exact solutions of the 2D Ginzburg-Landau equation by the first integral method
... 2, using the first- integral method which is based on the ring theory of commutative algebra, we es- tablish the exact travelling wave solution for ... See full document
8
Extended Auxiliary Equation Method to the perturbed Gerdjikov-Ivanov Equation
... equation method to obtain extensively reliable exact travelling wave solutions of perturbed Gerdjikov–Ivanov equation (GIE) that is widely used as a model in the field theory of quanta ... See full document
11
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 ... See full document
8
Exact Solutions for a Class of Nonlinear PDE with Variable Coefficients Using ET and ETEM
... the exact solutions of partial differential equations are an important problem in nonlinear science; the travelling wave solutions of partial differential equations with variable ... See full document
16
Solitary Wave solutions of the BK equation and ALWW system by using the first integral method
... solitary wave solutions to the Broer-Kaup equations and approximate long water wave ...first integral method is a very powerful method for finding exact solutions of ... See full document
11
Modified Simple Equation Method and its Applications for some Nonlinear Evolution Equations in Mathematical Physics
... physics system leads to nonlinear evolution equations in various fields of science and ...transformation method [1], the Hirota bilinear transform method [2], the Painleve integration method ... See full document
6
Travelling wave solutions of a Reaction-Diffusion System: Slow Reaction and Slow Diffusion
... the travelling wave solutions for both 𝒖 and 𝒘 when 𝑫 = ...traveling wave of 𝒘 grows exponentially and there is no effects on ...The travelling wave solutions are also ... See full document
6
Explicit and Exact Traveling Wave Solutions of Cahn Allen Equation Using MSE Method
... solitary wave solutions in nature is somewhat ...the system abruptly change due to some small changes in parameters including ...The solutions of these equations have crucial impact in ... See full document
9
Travelling Waves: Interplay of Low to High Reynolds Number and Tan Cot Function Method to Solve Burger’s Equations
... the solutions of different patterns of Burgers’ equations, variant numerical methods are ...for exact complex solutions of some different types of nonlinear partial differential equations [1] [2] ... See full document
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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
The First Integral Method for Solving Maccari’s System
... the first in- tegral method. In Section 3, implementing the first inte- gral method, some new exact solutions for Maccari’s sy- stem are ... See full document
6
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 ... See full document
6
Exact Solution and Conservation Laws for Fifth Order Korteweg de Vries Equation
... V G , are functions of x t , and derivatives of . The equality (2) is assumed to be satisfied for any solution of the corresponding system of equations, is called conserved density and G is called conserved ... See full document
5
Homotopy Perturbation Method for the Generalized Hirota Satsuma Coupled KdV Equation
... Perturbation Method for Calcula- tion of the Temperature Distribution in the Cast-Mould Heterogeneous Domain,” Journal of Achievements in Ma- terials and Manufacturing Engineering, ... See full document
7
Generalized Bernoulli Sub-ODE Method and its Applications
... sub-ODE method to extract new exact traveling wave solutions and then solitary wave solutions to the Phi-four equation [8-9] and Benney–Luke equation ...sub-ODE method has ... See full document
6
Unstable periodic wave solutions of Nerve Axion diffusion equations
... It is known that for u, if > 0 is sufficiently small, equation Gu,w I.I has two types of wave solutions, namely, pulse travelling wave solutions and A travelling wave solution is a solut[r] ... See full document
10
Bright and Singular Soliton Solutions of Tzitzéica Type Equations Appear in Nonlinear Optics
... function solutions of the TDBM and the TT equations through symbolic soft computation in ...these solutions might have significant im- portance in science and engineering ...that method is simple and ... See full document
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