Affiliation:
1. School of Economics Shandong Women's University Ji'nan 250300 Shandong, P.R. China
Abstract
Scalar similarity transformation method is extended to nonlinear models of coupled fractional equations, as to 2‐coupled fractional generalized derivative nonlinear schrödinger (GDNLS) equations, whose two similarity solutions corresponding to time‐fractional GDNLS equations and space‐fractional GDNLS equations are obtained, respectively. Furthermore, by using generalized similarity transformation 3‐coupled fractional nonlinear Heisenberg equations are reduced to ordinary differential equations, from which three different similarity solutions are also worked out, including a kind of traveling‐wave similarity solutions.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Shandong Province
Subject
General Engineering,General Mathematics