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Solution of Time-Fractional Korteweg-de Vries Equation in warm Plasma
Time-Fractional Korteweg-de Vries warm Plasma
2010/4/6
The reductive perturbation method has been employed to derive the Korteweg-de Vries (KdV) equation for small but finite amplitude ion-acoustic waves. The Lagrangian of the time fractional KdV equation...
Phase Shift in the Whitham Zone for the Gurevich-Pitaevskii Special Solution of the Korteweg-de Vries Equation
nondissipative shock wave cusp catastrophe
2010/4/7
We get the leading term of the Gurevich-Pitaevskii special solution to the KdV equation in the oscillation zone without using averaging methods.
The modified Korteweg-de Vries equation in the theory of large-amplitude internal waves
modified Korteweg-de Vries equation theory of large-amplitude internal waves
2009/11/13
The propagation of large- amplitude internal waves in the ocean is studied here for the case when the nonlinear effects are of cubic order, leading to the modified Korteweg - de Vries equation. The co...
A Series of Variable Separation Solutions and New Soliton Structures of
(2+1)-Dimensional Korteweg-de Vries Equation
variable separation approach (2+1)-dimensional KdV equation new soliton
excitation
2007/8/15
2006Vol.46No.3pp.403-406DOI:
A Series of Variable Separation Solutions and New Soliton Structures of
(2+1)-Dimensional Korteweg-de Vries Equation
XU Chang-Zhi
Department...
Symmetry Reduction, Exact Solutions, and Conservation Laws
of (2+1)-Dimensional Burgers Korteweg-de Vries Equation
3D-BKdV equation classical Lie method direct method conservation laws
2007/8/15
2006Vol.46No.1pp.15-20DOI:
Symmetry Reduction, Exact Solutions, and Conservation Laws
of (2+1)-Dimensional Burgers Korteweg-de Vries Equation
DONG Zhong-Zhou,1 LIU Xi-Qiang,1 and ...