New Truncated Expansion Method and Soliton-Like Solution of Variable Coefficient KdV-MKdV Equation With Three Arbitrary Functions

ZHANG Jie-fang; LIU Yu-lu

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Article Navigation > Applied Mathematics and Mechanics > 2003 > 24(11): 1114-1117

ZHANG Jie-fang, LIU Yu-lu. New Truncated Expansion Method and Soliton-Like Solution of Variable Coefficient KdV-MKdV Equation With Three Arbitrary Functions[J]. Applied Mathematics and Mechanics, 2003, 24(11): 1114-1117.

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New Truncated Expansion Method and Soliton-Like Solution of Variable Coefficient KdV-MKdV Equation With Three Arbitrary Functions

ZHANG Jie-fang^1,2,
LIU Yu-lu²

1.
Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China;
2.
Institute of Shanghai Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China

Received Date: 2001-04-19
Rev Recd Date: 2003-05-20
Publish Date: 2003-11-15

Abstract

Abstract

The truncated expansion method for finding explicit and exact soliton-like solution of variable coefficient nonlinear evolution equation was described. The crucial idea of the method was first the assumption that coefficients of the truncated expansion formal solution are functions of time satisfying a set of algebraic equations, and then a set of ordinary different equations of undetermined functions that can be easily integrated were obtained. The simplicity and effectiveness of the method by application to a general variable coefficient KdV-MKdV equation with three arbitrary functions of time is illustrated.
- variable coefficient,
- nonlinear evolution equation,
- soliton-like solution,
- truncated expansion method

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References(14)

References

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