Integrability and Solutions of the (2+1)-Dimensional Broer-Kaup Equation with Variable Coefficients |
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Authors: | WANG Lu-Hua HE Jing-Song |
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Institution: | Department of Mathematics, Ningbo University, Ningbo 315211, China |
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Abstract: | The integrability of the (2+1)-dimensional Broer-Kaup equation with variable coefficients (VCBK) is verified by finding a transformation mapping it to the usual (2+1)-dimensional Broer-Kaup equation (BK). Thus the solutions of the (2+1)-dimensional VCBK are obtained by making full use of the known solutions of the usual (2+1)-dimensional BK. Two new integrable models are given by this transformation, their dromion-like solutions and rogue wave solutions are also obtained. Further, the velocity of the dromion-like solutions can be designed and the center of the rogue wave solutions can be controlled artificially because of the appearance of the four arbitrary functions in the transformation. |
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Keywords: | (2+1)-dimensional Broer-Kaup equation with variable coefficients integrability (2+1)-dimen-sional Broer-Kaup equation dromion-like rogue wave |
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