KdV equation
On the KdV Equation with Hysteresis
... Amplitude equations governing the non-linear resonant interaction of equatorial baroclinic and barotropic Rossby waves were derived by Majda and Biello [21,22] and used as a model for long range interactions between the ...
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A Comparative Study of Space and Time Fractional KdV Equation through Analytical Approach with Nonlinear Auxiliary Equation
... fractional KdV equation with many arbitrary parameters are resourceful and most of those were not found in the earlier ...differential equation involving derivatives of non-integer orders can be ...
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Global Attractor for the Generalized Dissipative KDV Equation with Nonlinearity
... with periodic boundary condition ux, t ux L, t, there exists a weak global attractor of finite dimension. Later, there are many contributions to the global attractor of the dissipative KDV equation see ...
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A Description of the Coupled Schrödinger-KDV Equation of Dusty Plasma
... Riccati equation method [6], the Weierstrass elliptic function method [7], the tanh-function method [8, 9, 10] and the Jacobi elliptic function expansion method [8, ...field equation etc using Exp-function ...
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Evolution of geometric properties on solution curve of KdV equation
... Abstract---This paper discusses some properties of solution curve of the Cauchy problem on the KdV equation by Lagrange coordinate, obtained the evolution consequence of monotonicity, concavity and the ...
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Comments on the Adomian Decomposition Methods Applied to the KdV Equation
... We have also, applied the Multistage Adomian decomposition method to the resolution of the KdV equation, which it allows us to elaborate a non-divergent method with an acceptable accuracy level. Hence, the ...
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Application of the Kudryashov method and the functional variable method for the complex KdV equation
... This paper is organized as follows: In section 2 and 3, we describe briefly the func- tional variable method and the Kudryashov method. In section 4, we apply the proposed methods to solve the complex KdV ...
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Analytical Solutions of Nonlinear Coupled Schrodinger–KdV Equation via Advance Exponential Expansion
... differential equation for constructing interacting analytical solutions of nonlinear coupled physical models arising in science and ...Schrodinger-KdV equation is ...Schrodinger-KdV ...
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Solution of space time fractional generalized KdV equation, KdV burger equation and Bona-Mahoney-Burgers equation with dual power-law nonlinearity using complex fractional transformation
... Abstract: Fractional calculus is a rising subject in the current research field. The researchers of different disciplines are using fractional calculus models to investigate different practical problems. In this paper, ...
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Multi-soliton of the (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff equation and KdV equation
... Abstract A direct rational exponential scheme is offered to construct exact multi-soliton so- lutions of nonlinear partial differential equations. We have considered the Calogero- Bogoyavlenskii-Schiff equation ...
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Analytic approximate solution for the KdV equation with the homotopy analysis method
... Abstract The homotopy analysis method (HAM) is applied to obtain the analytic approximate solution of the well-known Korteweg-de Vries (KdV) equation. The HAM is an analytic technique which provides us with ...
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Study of the supercritical solution of the stationary negative forced KDV equation
... Abstract This paper considers Forced KdV equation with negative forcing term. The supercritical solitary wave solutions of the stationary Forced KdV equations are obtained. In order to obtain the ...
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Bäcklund transformations for several cases of a type of generalized KdV equation
... the equation becomes a linear equation, and when p = 2 and q = 1, the classical KdV equation results ...of equation resides in the fact that nonlinear dispersion is taken into account, ...
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Hill's spectral curves and the invariant measure of the periodic KdV equation
... Abstract This paper analyses the periodic spectrum of Schr¨ odinger’s equation − f 00 + qf = λf when the potential is real, periodic, random and subject to the invariant measure ν N β of the periodic KdV ...
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A solitary wave solution to a perturbed KdV equation
... the KdV equation is integrable and so can be solved by an inverse scattering transform (Gardner et ...the KdV equation is of course an approximation – in its derivation, higher-order terms and ...
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Multi solitons solutions of Korteweg de Vries (KdV) equation : six solitons
... evolution equation such as Korteweg de- Vries (KdV) equation, Sine-Gordon equation, KadomtsevPetviashvili (KP) equation and other equation that have been developed from the ...
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Numerical KDV Equation by the Adomian Decomposition Method
... Abstract: Using the Adomian decomposition method (ADM), we present in this paper a numerical approximation of the solution of the nonlinear KDV equation. The principal task concerns essentially the ...
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Homotopy Perturbation Method for the Generalized Hirota Satsuma Coupled KdV Equation
... In this paper, the homotopy perturbation method was used for finding solutions of a generalized Hirota-Sat- suma coupled KdV equation with initial conditions. It can be concluded that the homotopy ...
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The design of conservative finite element discretisations for the vectorial modified KdV equation
... This equation has numerous applications not least including fluid dynamics and plasma physics ...vectorial equation [MBSW02] appears frequently in the study of ocean waves and Riemannian geometry [SW03, ...
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On Expressive Construction of Solitons from Physiological Wave Phenomena
... only two solitons may be enough to describe the peaking and steepening wave phenomena. The question of how linear superposition of non-linear waves can be achieved is answered by careful construction of solitons. ...
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