New Explicit Solutions of  (1+1)-Dimensional Variable-Coefficient Broer-Kaup System

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Communications in Theoretical Physics ›› 2010, Vol. 54 ›› Issue (06) : 965-970.

New Explicit Solutions of (1+1)-Dimensional Variable-Coefficient Broer-Kaup System

YAN Zhi-Lian¹ and ZHOU Jian-Ping²

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Abstract

By using the compatibility method, many explicit solutions of the (1+1)-dimensional variable-coefficient Broer-Kaup system are constructed, which include new solutions expressed by error function, Bessel function, exponential function, and Airy function. Some figures of the solutions are given by the symbolic computation system Maple.

Key words

variable coefficient / Broer-Kaup system / explicit solution / symmetry

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YAN Zhi-Lian and ZHOU Jian-Ping. New Explicit Solutions of (1+1)-Dimensional Variable-Coefficient Broer-Kaup System[J]. Communications in Theoretical Physics, 2010, 54(06): 965-970