TY - JOUR
TI - Analytical treatment on a new generalized Ablowitz-Kaup-Newell-Segur hierarchy of thermal and fluid equations
AU - Zhang Sheng
AU - Gao Xudong
JN - Thermal Science
PY - 2017
VL - 21
IS - 4
SP - 1607
EP - 1612
PT - Article
AB - Constructing analytical solutions for non-liner partial differential equations aris-ing in thermal and fluid science is important and interesting. In this paper, Hiro-ta's bi-linear method is extended to a new generalized Ablowitz-Kaup-Newell-Se-gur hierarchy which includes heat conduction equation, advection equation, ad-vection-dispersion equation, and Korteweg-de Vries equation as special cases. As a result, bi-linear form of the generalized Ablowitz-Kaup-Newell-Segur hierarchy is derived. Based on the derived bi-linear form, exact and explicit n-soliton solu-tions of the generalized Ablowitz-Kaup-Newell-Segur hierarchy are obtained.