Abstract
In this paper, we present a constructive algorithm to obtain link of nonlinear evolution equation(s) (NLEEs) and (1+1) dimensional Boussinesq equation. We could generate the solutions to nonlinear evolution equations from the solutions to (1+1) dimensional Boussinesq equation by the obtained link, including N-soliton solutions, double periodic solutions and so on . As an example, we applied this new method to (2+1) dimensional KP equation. Some well results are obtained. This method can also be applied to other nonlinear evolution equations in mathematical physics.
Partially supported by a Natural Sciences Foundation of China under the grant 50579004.
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Yin, L., Wang, Z. (2010). A New Boussinesq-Based Constructive Method and Application to (2+1) Dimensional KP Equation. In: Zhu, R., Zhang, Y., Liu, B., Liu, C. (eds) Information Computing and Applications. ICICA 2010. Communications in Computer and Information Science, vol 105. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16336-4_13
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DOI: https://doi.org/10.1007/978-3-642-16336-4_13
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