Symmetries and Infinite Dimensional Lie Algebra of the Variable Coefficient KDV Equation |
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| Authors: | Hang-Yu RUAN Sen-Yue LOU |
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| Affiliation: | 1. Physics Department, Ningbo Normal College, Ningbo 315211;2. CCAST (World Laboratory), P.O. Box 8730, Beijing 100080;2. Institute of Modern Physics, Ningbo Normal College, Ningbo 315211, China |
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| Abstract: | With the help of the conditional strong symmetry, we obtain the K symmetries, r symmetries, infinite dimensional Lie algebra and the corresponding infinite conservation quantities of the variable coefficient KdV equation ut = h1(t)(uxxx +6uux) +4h2(t)ux - h0(t)(2u+ xux) with h0, h1 and h2 being three arbitrary functions of t. |
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