TY - JOUR
TI - Non-differentiable fractional odd-soliton solutions of local fractional generalized Broer-Kaup system by extending Darboux transformation
AU - Xu Bo
AU - Shi Pengchao
AU - Zhang Sheng
JN - Thermal Science
PY - 2023
VL - 27
IS - 101
SP - 77
EP - 86
PT - Article
AB - In this paper, a local fractional generalized Broer-Kaup (gBK) system is  first de­rived from the linear matrix problem equipped with local space and  time fractional partial derivatives, i.e, fractional Lax pair. Based on the  derived fractional Lax pair, the second kind of fractional Darboux  transformation (DT) mapping the old potentials of the local fractional gBK  system into new ones is then established. Finally, non-differentiable  frcational odd-soliton solutions of the local fractional gBK system are  obtained by using two basic solutions of the derived fractional Lax pair and  the established fractional DT. This paper shows that the DT can be extended  to construct non-differentiable fractional soliton solutions of some local  fractional non-linear evolution equations in mathematical physics.