ZHENG Bin. New soliton solutions to 2+1 dimensional breaking soliton equation[J]. Chinese Journal of Quantum Electronics, 2006, 23(4): 451
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The Lie group method is a powerful tool to study the nonlinear differentical equations. By using the classical or nonclassical Lie symmetry method we can get amount of exact solutions of the nonlinear differential equations. For the breaking soliton equation,by applying the CK method,we obtain the Backlund transformation of finding solution,so some new solutions are found. We generalize the results in the paper [4~8].