NEW EXACT SOLUTIONS TO KdV EQUATIONS WITH VARIABLE COEFFICIENTS OR FORCING

Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (1): 73-79.

NEW EXACT SOLUTIONS TO KdV EQUATIONS WITH VARIABLE COEFFICIENTS OR FORCING

付遵涛^1,2, 刘式达^1,2, 刘式适¹, 赵强¹

1. School of Physics, Peking University, Beijing 100871, P. R. China;
2. State Key Laboratory for Turbulence and Complex System, Peking University, Beijing 100871, P. R. China

收稿日期:2002-08-28 修回日期:2003-07-31 出版日期:2004-01-18 发布日期:2004-01-18
基金资助:
the National Natural Science Foundation of China(40175016);the State Key Project of National Natural Science Foundation of China(40035010)

NEW EXACT SOLUTIONS TO KdV EQUATIONS WITH VARIABLE COEFFICIENTS OR FORCING

FU Zun-tao^1,2, LIU Shi-da^1,2, LIU Shi-kuo¹, ZHAO Qiang¹

1. School of Physics, Peking University, Beijing 100871, P. R. China;
2. State Key Laboratory for Turbulence and Complex System, Peking University, Beijing 100871, P. R. China

Received:2002-08-28 Revised:2003-07-31 Online:2004-01-18 Published:2004-01-18
Supported by:
the National Natural Science Foundation of China(40175016);the State Key Project of National Natural Science Foundation of China(40035010)

摘要/Abstract

摘要： Jacobi elliptic function expansion method is extended to construct the exact solutions to another kind of KdV equations, which have variable coefficients or forcing terms. And new periodic solutions obtained by this method can be reduced to the soliton-typed solutions under the limited condition.

中图分类号:

O175
O411

付遵涛;刘式达;刘式适;赵强. NEW EXACT SOLUTIONS TO KdV EQUATIONS WITH VARIABLE COEFFICIENTS OR FORCING[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(1): 73-79.

FU Zun-tao;LIU Shi-da;LIU Shi-kuo;ZHAO Qiang. NEW EXACT SOLUTIONS TO KdV EQUATIONS WITH VARIABLE COEFFICIENTS OR FORCING[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(1): 73-79.

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NEW EXACT SOLUTIONS TO KdV EQUATIONS WITH VARIABLE COEFFICIENTS OR FORCING

NEW EXACT SOLUTIONS TO KdV EQUATIONS WITH VARIABLE COEFFICIENTS OR FORCING

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