Exact Solutions to the Generalized Dispersive  Long Wave Equation with Variable Coefficients

Chinese Quarterly Journal of Mathematics ›› 2006, Vol. 21 ›› Issue (4): 522-528.

Exact Solutions to the Generalized Dispersive Long Wave Equation with Variable Coefficients

1. Department of Finance,Shanghai TV University 2. Department of Mathematics and Physics,Henan University of Science and Technology

Received:2002-08-06 Online:2006-12-30 Published:2023-11-20
About author:ZHANG Ling-yuan(1963-),mail,native of Dezhou,Shandong,an associate professor of Shang- hai TV University,engages in nonlinear mathematics physics;ZHANG Jin-liang(1966-),mail,native of Nanyang, Henan,an associate professor of Henan University of Science and Technology,engages in nonlinear mathematical physics.
Supported by:
Supported by the Natural Science Foundation of Education Committee of Henan Province(2003110003)；

Abstract

Abstract: By using the homogeneous balance principle(HBP),we derive a Backlund trans- formation(BT)to the generalized dispersive long wave equation with variable coefficients. Based on the BT,we give many kinds of the exact solutions of the equatioh,such as,single solitary solutions,multi-soliton solutions and generalized exact solutions.

Key words: generalized dispersive long wave equation with variable coefhcients;homo-geneous balance principle(HBP);Backlund transformation(BT);single , solitary , solutions, multi-soliton-like solutions;exact solutions

CLC Number:

O175.2

ZHANG Ling-yuan, ZHANG Jin-liang, WANG Ming-liang. Exact Solutions to the Generalized Dispersive Long Wave Equation with Variable Coefficients [J]. Chinese Quarterly Journal of Mathematics, 2006, 21(4): 522-528.

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Exact Solutions to the Generalized Dispersive Long Wave Equation with Variable Coefficients

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