[PDF] Top 20 Exact solutions of two nonlinear partial differential equations by using the first integral method
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Exact solutions of two nonlinear partial differential equations by using the first integral method
... ential equations [] tells us that the general solutions of () can be obtained ...first integral (), which will reduce () to a first-order integral for an ordinary differential ...equation, ... See full document
9
EXACT TRAVELLING WAVE SOLUTIONS FOR MANAKOV SYSTEM BY USING FIRST INTEGRAL METHOD
... ordinary differential equations 2 , if one can find two first integrals to system (7) under the same conditions, then the exact solutions to system (7) can be solved ...single ... See full document
7
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 ... See full document
7
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
Symmetry and double reduction for exact solutions of selected nonlinear partial differential equations
... universal method to solve all nonlinear ...made using a change of variables. Compared to other exact methods that usually require extra conditions, this method is a universal ... See full document
28
Exact travelling wave solutions for some complex nonlinear partial differential equations
... expansion method for constructing exact travelling wave solutions of nonlinear par- tial differential ...on two two selected equations, the balance numbers of which ... See full document
8
Explicit Jacobi elliptic exact solutions for nonlinear partial fractional differential equations
... the nonlinear partial fractional differential equations such as those in [, ...algebraic method for nonlinear partial differential equations to obtain a series of ... See full document
14
New Exact Travelling Differential Equations by Using Tanh Method
... tanh method will be introduced as presented by Malfliet(Malfliet, 1992),(Malfliet, 2004) and by Wazwaz(Wazwaz,2006), (Wazwaz,2006), ...tanh method is based on a priori assumption that the traveling wave ... See full document
5
RETRACTED: The Modified Simple Equation Method and Its Applications in Mathematical Physics and Biology
... The nonlinear partial differential equations of mathematical physics are major subjects in physical science ...[1]. Exact solutions for these equations play an important ... See full document
19
Exact solutions for fractional partial differential equations by a new fractional sub equation method
... sub-equation method for solving FPDEs success- fully, which is the fractional version of the known (G /G) ...the two nonlinear fractional complex transformations for ξ and η used here are very impor- ... See full document
12
Numerical solutions of two-dimensional linear and nonlinear Volterra integral equations: Homotopy perturbation method and differential transform method
... In this section, we apply HPM to solve three linear and nonlinear Volterra integral equa- tions. These examples are solved numerically in [28] by DTM. The main objective here is to solve these examples by ... See full document
11
Nonlinear Bending Analysis of Sector Graphene Sheet Embedded in Elastic Matrix Based on Nonlocal Continuum Mechanics
... the partial differential governing equations. First of all, the two methods are compared with each other and concluded that although the new method is extremely simple, but it is ... See full document
10
Application of the new extended (G'/G) -expansion method to find exact solutions for nonlinear partial differential equation
... new exact traveling wave solutions with several free ...The exact solutions have its great importance to expose the inner mechanism of the complex physical ...close-form solutions of ... See full document
11
Exact Solutions for Three Fractional Partial Differential Equations by the (G’/G) Method
... of differential equations, integral equations and matrix equations include various aspects, such as the existence and uniqueness of solutions [1,2], seeking for exact ... See full document
6
Tan-Cot Function Method to Solve New Coupled ZK and mKdV Systems
... wave solutions by using the Tan-Cot function algorithm were established for solving nonlinear partial differential ...The method was used to obtain new solitary wave ... See full document
5
Vol 9, No 1 (2018)
... find exact and approximate solutions for linear and nonlinear partial differential equations which describe in different ...perturbation method which is analytic technique ... See full document
5
Classification of All Single Traveling Wave Solutions to (3 + 1) Dimensional Breaking Soliton Equation
... the exact traveling wave solutions to nonlinear partial differential equation, the complete discrimination system for polynomial and direct integral method are applied to ... See full document
5
Study on Nonlinear Partial Differential Equation by Implementing MSE Method
... equation method is effectively used to investigate exact traveling wave solutions of the nonlinear partial Klien-Gordon differential equations by means of hyperbolic and ... See full document
15
Soliton solution for nonlinear partial differential equations by the (G'/G )-expansion method and its applications
... proposed method gives more general exact solutions for four different types of nonlinear partial differential equations such as the modified regularized long wave ... See full document
13
Modified F-Expansion Method Applied to Coupled System of Equation
... F-expansion method to find the exact traveling wave solutions of two-component nonlinear partial differential equations (NLPDEs) is ...this method to ... See full document
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