[PDF] Top 20 The Periodic Solitary Wave Solutions for the (2 + 1) Dimensional Fifth Order KdV Equation
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The Periodic Solitary Wave Solutions for the (2 + 1) Dimensional Fifth Order KdV Equation
... soliton solutions, such as the in- verse scattering transformation [1] [2], the Darboux transformation [3], the variable seperation method [4], the bilinear method and so on ...soliton ... See full document
6
LYAPUNOV-SCHMIDT REDUCTION IN THE STUDY OF PERIODIC TRAVELLING WAVE SOLUTIONS OF NONLINEAR DISPERSIVE LONG WAVE EQUATION
... long wave in ...the solutions for system (3) is very helpful to coastal and civil engineers in applying the nonlinear water model to coastal harbor ...similarity solutions of system (3) by using ... See full document
8
The new exact solitary wave solutions and stability analysis for the \((2+1)\) dimensional Zakharov–Kuznetsov equation
... trostatic wave potential in plasmas, that is, a function of the spatial variables x, y and the temporal variable ...ZK equation determines the behavior of weakly nonlin- ear ion-acoustic waves incorporating ... See full document
15
Quasi periodic wave solutions and asymptotic behavior for an extended \((2+1)\) dimensional shallow water wave equation
... algebro-geometric solutions to many ...quasi-periodic solutions of nonlinear equations [, ], where the quasi-periodic wave solutions of the Korteweg-de Vries equation ... See full document
12
EXISTENCE AND NONEXISTENCE OF BIFURCATION OF PERIODIC TRAVELLING WAVE SOLUTIONS OF NONLINEAR DISPERSIVE LONG WAVE EQUATION
... long wave in ...the solutions for system ...similarity solutions of system ...long-wave equation by using the variable separation ...analytical solutions dispersive ... See full document
10
Multi-soliton of the (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff equation and KdV equation
... exact solutions to non-linear differential equations is an im- portant task for understanding most of the nonlinear physical phenomena in applied mathematics, physics, in fluid dynamics, plasma and optical fibers, ... See full document
10
Exact Traveling Wave Solutions to the Fifth-order KdV Equation Using the Exponential Expansion Method
... traveling wave solutions of a class of the fifth-order Korteweg-de Vries equa- tion, and several forms of this class using the exp(−ϕ(ξ))- expansion method with the help of Maple ...traveling ... See full document
6
A Study on Exact Travelling Wave Solutions of Generalized KdV Equations
... third order approximations of water wave equations of KdV ...for solitary wave solutions for some special equations was ...these solutions obtained in [1] was ... See full document
7
Solitary and Periodic Wave Solutions of the Fourth Order Boussinesq Equation Through the Novel Exponential Expansion Method
... exact solutions which are not found in other ...known solutions in a systemic way but also obtains several entirely new and more explicit solutions to the ...of solitary waves constructed by ... See full document
9
Solving Nonlinear Evolution Equations by (G'/G)-Expansion Method
... a wave which preserves its shape after it has collided with another wave of the same ...drainage equation and fourth order evolution equation, we attain desired solitary ... See full document
11
New analytical soliton type solutions for double layers structure model of extended KdV equation
... exact solutions of nonlinear partial differential ...of solitary waves strongly modified by the presence of minority population of cold electrons [2, 9, 13], Many authors [1, 3, 4, 14] have ... See full document
15
Solitary and periodic wave solutions of higher dimensional conformable time fractional differential equations using the \(( \frac{G'}{G},\frac{1}{G} ) \) expansion method
... exact solutions of FDEs plays an important role in understanding the qualitative and quan- titative features of many physical phenomena, which are described by these ...analytical solutions for ...auxiliary ... See full document
15
The Exact Solitary Wave Solutions in Continuity Equation of the One Dimensional Granular Crystals of Elastic Spheres
... continuous equation of one-dimensional granular crystals of elastic spheres is derived; and the G’/G-expansion method is applied to this con- tinuous equation, the hyperbolic function solitary ... See full document
7
Travelling Solitary Wave Solutions to Higher Order Korteweg de Vries Equation
... Nonlinear wave phenomena appear in various scientific and engineering fields [1] [2] [3] [4], such as fluid mechanics, plasma physics, optical fibers, biology, solid state physics, chemical ... See full document
7
Exact Solutions for a Class of Nonlinear PDE with Variable Coefficients Using ET and ETEM
... travelling wave solu- tions of the constant coefficients ...exact solutions of the variable-coefficient equation by the relation between the variable-coefficient equation and the ... See full document
16
Exact solitary wave and quasi periodic wave solutions of the KdV Sawada Kotera Ramani equation
... traveling wave solution of (.) if and only if y(ξ ) satisfies (.) with the wave speed c and any arbitrary constant ...nonlinear equation which is equivalent to a four-dimensional system, it ... See full document
12
The Korteweg-De Vries Equation and its Homologues: A Comparative Analysis II
... 2.3 Classi fication 33 2.4 Conclusion 36 CHAPTER THREE REVIEW OF THE KORTEWEG-DE VRIES EQUATION 38 3.1 Existence of solitary and periodic wave solutions 38 3.2 Stability of the solitary [r] ... See full document
247
Exact Solution and Conservation Laws for Fifth Order Korteweg de Vries Equation
... u f x t u u u u xt (1) where u u x t , is a function of two independent variables t and x. The functional I u x t , is said to be a constant of motion or an integral of Equation ... See full document
5
Rogue Waves of the Kundu Nonlinear Schrödinger Equation
... In Section 3, From a periodic seed solution, breather solutions, the first-order rogue wave and higher order rogue wave solutions of the Kundu-NLS equation are given.. The higher order r[r] ... See full document
5
Solitary Wave Solution of the Two Dimensional Regularized Long Wave and Davey Stewartson Equations in Fluids and Plasmas
... the solitary wave solutions of the two dimensional regularized long-wave equation in plasma and rotating flows simulated by using extended mapping method, and we hope these ... See full document
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