TY - JOUR
TI - Spatio-temporal dynamics and interaction of lump solutions for the (4+1)-D Fokas equation
AU - Dai Hou-Ping
AU - Tan Wei
AU - Zheng Zhou-Shun
JN - Thermal Science
PY - 2018
VL - 22
IS - 4
SP - 1823
EP - 1830
PT - Article
AB - The (4+1)-D Fokas equation is a new and important physical model. Its  Hirota's bilinear form with a perturbation parameter is obtained by an  appropriate trans-formation. A class of lump solutions and three different  forms of spatio-temporal structure are obtained. Meanwhile, the theoretical  analysis for the change of spatio-temporal structure is discussed by using  the extreme value theory of multivariate function. Finally, the interaction  between a stripe soliton and lump solution is discussed, and a new wave  phenomenon that the lump solution is swallowed and drowned by the stripe  soliton is investigated.