Results 111 to 120 of about 4,529 (186)

Solution of The KdV Equation with Asymptotic Degeneracy

, 2012
Recently T. C. Au-Yeung, C.Au, and P. C. W. Fung [2] have given the solution of the KdV equation [1] to the boundary condition , where b is a constant.
Joseph Mathew, Tapas Kumar Sinha
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Exploring third-order KdV–SIdV families: Analytical solutions, conservation properties, and phase plane trajectories

Results in Physics
This study focuses on the Scale-Invariant (SIdV) families of third-order equations, which are among the few known equations sharing the same solitary wave solution of the KdV equation in the form of sech2.
Lewa’ Alzaleq, Valipuram Manoranjan
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Analytical and Numerical Investigations of the Kudryashov Generalized KdV Equation

, 2018
This thesis concerns an analytical and numerical study of the Kudryashov Generalized Korteweg-de Vries (KG KdV) equation. Using a refined perturbation expansion of the Fermi-Pasta-Ulam (FPU) equations of motion, the KG KdV equation, which arises at sixth
Hilton, William
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Bäcklund Transformations between the KdV Equation and a New Nonlinear Evolution Equation

, 2017
We first give a Bäcklund transformation from the KdV equation to a new nonlinear evolution equation. We then derive two Bäcklund transformations with two pseudopotentials, one of which is from the KdV equation to the new equation and the other from the ...
Xifang Cao
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SIMULATION OF KdV-BURGERS EQUATION WITH LATTICE BGK MODEL

, 2011
The lattice BGK method is a recently developed numerical scheme for simulating a variety of physical systems in recent years. In this paper, a four-speed lattice BGK model is given for simulating KdV-Burgers equation ut+uux-αuxx+βuxxx = 0.
CHANGFENG MA, LINJIE CHEN
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The KdV equation under periodic boundary conditions and its perturbations

, 2014
International audienceIn this paper we discuss properties of the Korteweg–de Vries (KdV) equation under periodic boundary conditions, especially those which are important for studying perturbations of the equation.
Huang, Guan, Kuksin, Sergei
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Soliton dynamics of the KdV–mKdV equation using three distinct exact methods in nonlinear phenomena

Nonlinear Engineering
The KdV–mKdV equation is investigated in this study. This equation is a useful tool to model many nonlinear phenomena in the fields of fluid dynamics, quantum mechanics, and soliton wave theory.
Ullah M. Atta, Rehan Kashif, Perveen Zahida, Sadaf Maasoomah, Akram Ghazala   +4 more
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Fractional Consistent Riccati Expansion Method and Soliton-Cnoidal Solutions for the Time-Fractional Extended Shallow Water Wave Equation in (2 + 1)-Dimension

Fractal and Fractional
In this work, a fractional consistent Riccati expansion (FCRE) method is proposed to seek soliton and soliton-cnoidal solutions for fractional nonlinear evolutional equations.
Lihua Zhang, Bo Shen, Meizhi Jia, Zhenli Wang, Gangwei Wang   +4 more
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Approximations for KdV equation as a Hamiltonian system

, 2000
KdV equation is one example of infinite-dimensional Hamiltonian systems. In this paper, we consider a Fourier spectral approximation and a collocation approximation for the KdV equation with emphasis on its Hamiltonian nature.
Qin, Meng Zhao, Zhao, Ping Fu
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Symbolic computation of solutions for three generalized nonlinear partial differential eQuations by using the tanh method

Revista Colombiana de Computación, 2009
Three nonlinear partial differential equations, namely, the standard KdV equation, the Boussinesq equation and the generalized fifthorder KdV equation are considered here from of point the view of construct exact solutions for them. The equations that we
Alvaro H. Salas, Cesar A. Gómez
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