TY - JOUR
TI - Lump solutions to the (2+1)-dimensional shallow water wave equation
AU - Ma Hong-Cai
AU - Ni Ke
AU - Deng Aiping
JN - Thermal Science
PY - 2017
VL - 21
IS - 4
SP - 1765
EP - 1769
PT - Article
AB - Through symbolic computation with MAPLE, a class of lump solutions to the (2+1)-D shallow water wave equation is presented, making use of its Hirota bi-linear form. The resulting lump solutions contain six free parameters, two of which are due to the translation invariance of the (2+1)-D shallow water wave equation and the other four of which satisfy a non-zero determinant condition guaranteeing analyticity and rational localization of the solutions.