Exact Soliton Solutions of the Variable Coefficient KdV Equation with Forced Term

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Abstract:

In order to construct exact soliton solutions of nonlinear evolution equations with variable coefficients. By using a transformation, the variable coefficient KdV equation with forced Term is reduced to nonlinear ordinary differential equation (NLODE), after that, a number of exact solitons solutions of variable coefficient KdV equation with forced Term are obtained by using the equation shorted in NLODE. As it showed above, this kind of method can be applied in solving a large number of nonlinear evolution equations.

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1196-1200

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April 2014

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] Liu X. Exact Solutions of The Variable Coefficient kdv and s-g Type Equations. Appl. Math.J. Chin. Univ. B13: 25-30(1998).

DOI: 10.1007/s11766-998-0004-8

Google Scholar

[2] Run Z. & Zhang H. The Accurate Soliton Solutions of Variable Coefficient KdV-mKdV Equation with Three Arbitrary Functions. Physics journal, 48(11): 1957-1961 (1999).

Google Scholar

[3] Chan W., Li K. Nonpropagating Solitons of The Variable Coefficient and Nonisospectral KdV Equation. J Math Phys, 30(11): 2521-2526 (1989).

DOI: 10.1063/1.528533

Google Scholar

[4] Lu D. & Hong B. & Tian L. The Accurate Soliton Solutions of The Variable Coefficient KdV Equations With Forced Form. Physics journal, 55(11): 5617-5622 (2006).

Google Scholar

[5] Liu S. & Fu Z. & Liu S. & Zhao Q. The Jacobi Elliptic function Expansion Solution of Variable Coefficient Nonlinear Equation. Physics journal, 2002, 51(9): 1923-1926(2002).

Google Scholar

[6] Bao Z. & T. New Accurate Solutions of New Auxiliary Equation Method to Construct (2+1) Maintain Positive Dispersive Ripple Equation Set. Inner Mongolia Normal University Journal, 2012, 1(11): 32-37 (2012).

Google Scholar