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[PDF] Top 20 Exact solutions of (3 +1)-dimensional nonlinear evolution equations

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Exact solutions of (3 +1)-dimensional nonlinear evolution equations

Exact solutions of (3 +1)-dimensional nonlinear evolution equations

... of nonlinear equations has been very active for the past few ...of nonlinear equations that appear in various areas of physical and mathematical ...of exact solutions of ... See full document

7

Symmetry reduction and exact solutions of two higher dimensional nonlinear evolution equations

Symmetry reduction and exact solutions of two higher dimensional nonlinear evolution equations

... higher-dimensional nonlinear evolution equations (NLEEs) are obtained by Lie group ...in nonlinear sciences. We derive exact solutions to these NLEEs via the exp(– φ ... See full document

19

Study of Nonlinear Evolution Equations to Construct Traveling Wave Solutions via the New Approach of the Generalized (G'/G)  Expansion Method

Study of Nonlinear Evolution Equations to Construct Traveling Wave Solutions via the New Approach of the Generalized (G'/G) Expansion Method

... 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 generalized ( G ′ / ... See full document

11

EXACT SOLUTIONS TO (3+1) CONFORMABLE TIME FRACTIONAL JIMBO-MIWA, ZAKHAROV-KUZNETSOV AND MODIFIED ZAKHAROV-KUZNETSOV EQUATIONS

EXACT SOLUTIONS TO (3+1) CONFORMABLE TIME FRACTIONAL JIMBO-MIWA, ZAKHAROV-KUZNETSOV AND MODIFIED ZAKHAROV-KUZNETSOV EQUATIONS

... three dimensional ion-sound solitons in a magnetized plasma with a low ...Some solutions of the cnoidal, periodic, singular periodic, solitary wave and non topological soliton forms are constructed by using ... See full document

6

Construction of \((n+1)\) dimensional dual mode nonlinear equations: multiple shock wave solutions for \((3+1)\) dimensional dual mode Gardner type and KdV type

Construction of \((n+1)\) dimensional dual mode nonlinear equations: multiple shock wave solutions for \((3+1)\) dimensional dual mode Gardner type and KdV type

... wave solutions have different types which give a complete understanding of the dynamics of a particular physical ...wave solutions propagate as dual-waves with interaction phase ... See full document

12

Bilinear Bäcklund transformations and explicit solutions of a \((3+1)\) dimensional nonlinear equation

Bilinear Bäcklund transformations and explicit solutions of a \((3+1)\) dimensional nonlinear equation

... So, equation (.) is a generalization of the BLMP equation. The main goal of this paper is twofold. First of all, we will apply the binary Bell polynomials to construct two bilinear forms of equation (.). Further, ... See full document

13

A New Extended (G'/G) Expansion Method to Find Exact Traveling Wave Solutions of Nonlinear Evolution Equations

A New Extended (G'/G) Expansion Method to Find Exact Traveling Wave Solutions of Nonlinear Evolution Equations

... deriving exact solutions of NLEEs are Backlund transformation method [10], Darboux Transformations [8], tanh-function method [18], Exp-function method [7] and so ... See full document

5

Exact solutions and conservation laws of a (3+1) dimensional B type Kadomtsev Petviashvili equation

Exact solutions and conservation laws of a (3+1) dimensional B type Kadomtsev Petviashvili equation

... the nonlinear partial differential equations ...act solutions of NLPDEs plays an important role in the study of ...find exact solutions to ... See full document

7

Exact three wave solutions for the (3+1) dimensional Boiti Leon Manna Pempinelli equation

Exact three wave solutions for the (3+1) dimensional Boiti Leon Manna Pempinelli equation

... and nonlinear evolution equations [–] have attracted much atten- tion of mathematicians and ...Especially, exact solutions of nonlinear evolution equations play a ... See full document

11

New extended direct algebraic method for the Tzitzica type evolution equations arising in nonlinear optics

New extended direct algebraic method for the Tzitzica type evolution equations arising in nonlinear optics

... The main aim in this article is to effectively employ new method to obtain exact solution of nonlinear partial differential equations, namely the generalized algebra method. This method is based on a ... See full document

26

The Traveling Wave Solutions for Some Nonlinear PDEs in Mathematical Physics

The Traveling Wave Solutions for Some Nonlinear PDEs in Mathematical Physics

... differential equations are known to describe a wide variety of phenomena not only in physics -where applications extend over magneto fluid dynamics, water surface gravity waves, electromagnetic radiation ... See full document

5

Solitary Wave solutions of the BK equation and ALWW system by using the first integral method

Solitary Wave solutions of the BK equation and ALWW system by using the first integral method

... wave solutions to the Broer-Kaup equations and approximate long water wave ...finding exact solutions of the nonlinear differential ... See full document

11

Numerical investigation of nonlinear volterra hammerstein integral equations via single term haar wavelet series

Numerical investigation of nonlinear volterra hammerstein integral equations via single term haar wavelet series

... of nonlinear Volterra-Hammerstein integral ...discrete solutions using the STHW are found to be very accurate and are compared with the exact solutions of the nonlinear ... See full document

5

Classifying Exact Traveling Wave Solutions to the Coupled Higgs Equation

Classifying Exact Traveling Wave Solutions to the Coupled Higgs Equation

... the exact traveling wave solutions of the nonlinear differential Equations, such as the inverse scattering method [1], Jacobi elliptic function expansion method [2], homogeneous balance ... See full document

6

The tanh coth method for some nonlinear pseudoparabolic equations with exact solutions

The tanh coth method for some nonlinear pseudoparabolic equations with exact solutions

... new solutions of these equations. The exact solutions show that the tanh-coth method is a powerful mathematical tool for solving nonlinear pseudoparabolic ... See full document

18

New Jacobi Elliptic Function Solutions for Coupled KdV-mKdV Equation

New Jacobi Elliptic Function Solutions for Coupled KdV-mKdV Equation

... some exact solutions of Jacobi elliptic function form from the coupled KdV-mKdV equation are ...or 1 , the corresponding solitary wave solutions and trigonometric function solutions are ... See full document

5

Traveling Wave Solutions of Nonlinear Klein-Gordon Equation by Extended (G/G')-expansion Method

Traveling Wave Solutions of Nonlinear Klein-Gordon Equation by Extended (G/G')-expansion Method

... search exact travelling wave solutions for the non-linear Klien-Gordon ...plentiful exact solutions. The solutions are in the form of trigonometric and ...solving nonlinear ... See full document

7

Anti periodic solutions for nonlinear evolution equations

Anti periodic solutions for nonlinear evolution equations

... anti-periodic solutions for an evolution equation by the theory of topological degree, and then, by applying the Leray-Schauder fixed point theorem, we prove the existence of anti-periodic solutions ... See full document

15

Multiple soliton solutions and a generalized double Wronskian determinant to the \((2+1)\) dimensional nonlinear Schrödinger equations

Multiple soliton solutions and a generalized double Wronskian determinant to the \((2+1)\) dimensional nonlinear Schrödinger equations

... soliton solutions and a generalized double Wronskian determinant solution to system (), ...soliton solutions of system () based on the Hirota bilinear ... See full document

10

Exact Solutions of two-Dimensional Nonlinear Schrödinger Equations with External Potentials

Exact Solutions of two-Dimensional Nonlinear Schrödinger Equations with External Potentials

... Solitons are localized nonlinear waves and occur in many branches of physics. Their properties have provided fundamental understanding of complex nonlinear systems. In recent years there has been ... See full document

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