TY - JOUR
TI - Kink degeneracy and rogue potential flow for the (3+1)-dimensional generalized Kadomtsev-Petviashvili equation
AU - Chen Han-Lin
AU - Xu Zhen-Hui
AU - Dai Zheng-De
JN - Thermal Science
PY - 2016
VL - 20
IS - 13
SP - 919
EP - 927
PT - Article
AB - The breather-type kink soliton, breather-type periodic soliton solutions and  rogue potential flow for the (3+1)-dimensional generalized  Kadomtsev-Petviashvili equation are obtained by using the extended homoclinic  test technique and homoclinic breather limit method, respectively.  Furthermore, some new non-linear phenomena, such as kink and periodic  degeneracy, are investigated and the new rational breather solutions are  found out. Meanwhile, we also obtained the rational potential solution and it  is just a rogue wave. These results enrich the variety of the dynamics of  higher-dimensional non-linear wave field.