TY - JOUR
TI - Bilinearization and fractional soliton dynamics of fractional Kadomtsev-Petviashvili equation
AU - Zhang Sheng
AU - Wei Yuanyuan
AU - Xu Bo
JN - Thermal Science
PY - 2019
VL - 23
IS - 3
SP - 1425
EP - 1431
PT - Article
AB - Kadomtsev-Petviashvili equation is a mathematical model with many important applications in fluids. In this paper, a local fractional Kadomtsev-Petviashvili equation with Lax integrability is derived and solved by extending Hirota’s bilinear method. More specifically, the local fractional Kadomtsev-Petviashvili equation is derived from a local fractional Lax equation. With the help of a suitable transformation, the local fractional Kadomtsev-Petviashvili equation is then bilinearized. Based on the bilinearized form, n-soliton solution with Mittag-Leffler functions is obtained. In order to gain more insights into the fractional n-soliton solution, the velocity of the fractional one-soliton solution is simulated. It is shown that the velocity of the fractional one-soliton changes with the fractional order.