TY - JOUR T1 - New Explicit Solutions to the (2+1)-dimensional Broer-Kaup Equations AU - Xiqiang Liu JO - Journal of Partial Differential Equations VL - 1 SP - 1 EP - 11 PY - 2004 DA - 2004/02 SN - 17 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5372.html KW - Broer-Kaup equations KW - explicit solution KW - successive formula AB - Applying the homogeneous balance method, we have found the explicit and soliton solutions and given a successive formula of finding explicit solutions to the (2+1)-dimensional Broer-Kaup equations. Moreover, by using the Lie group method, we have discussed the similarity solutions to the (2+1)-dimensional Broer-Kaup equations.