Abstract
The infinitely many symmetries with arbitrary functions of timet for the potential modified Kadomtsev-Petviashvilli equation are obtained by using a simple direct method. These symmetries constitute a generalization of the well-knownW ∞ algebra.
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References
Lou, S.-Y.,Phys. Rev. Lett. 71, 4099 (1993).
Lou, S.-Y.,J. Phys. A, Math. Gen. 26, 4387 (1993); Lou, S.-Y. and Lin, J.,Phys. Lett. A. 185, 29 (1994).
Lou, S.-Y.,J. Phys. A., Math. Gen. 27, 3235 (1994).
Lou, S.-Y.,J. Math. Phys. 35, 1755 (1994).
Fuchssteiner, B.,Progr. Theoret. Phys. 70, 1508 (1983).
Chen, H. H. and Lin, J. E.,J. Math. Phys. 28, 7347 (1987).
Schwarz, F.,J. Phys. Soc. Japan. 51, 2387 (1982); David, D., Kamran, N., Levi, D., and Winternitz, P.,J. Math. Phys. 27, 1225 (1986).
Santini, P. M. and Fokas, A. S.,Comm. Math. Phys. 115, 375 (1988); Fokas, A. S. and Santini, P. M.,Comm. Math. Phys. 116, 449 (1988);J. Math. Phys. 29, 1606 (1988).
Tian, C., in C. H. Guet al. (eds),Soliton Theory and its Application, Hejiang Publishing House of Science and Technology, Hangzhou, 1990, pp. 216–267.