Soliton excitations and interaction in alpha helical protein with interspine coupling in modified nonlinear Schrödinger equation*

Project supported by the National Natural Science Foundation of China (Grant Nos. 11874324 and 11705164), the Natural Science Foundation of Zhejiang Province of China (Grant Nos. LY17A040011, LY17F050011, and LR20A050001), the Foundation of “New Century 151 Talent Engineering” of Zhejiang Province of China, and the Youth Talent Program of Zhejiang A & F University.

Li Ming-Ming1, Hu Cheng-Lai1, Wu Jun2, Lai Xian-Jing3, Wang Yue-Yue1, †
       

The evolution figures of one-soliton and two-soliton for different m1: (a) and (b) m1 = sin (t)2; (c) and (d) m1 = 1/(4t2 + 1); (e) and (f) m1 = e−0.2t. Other parameters are given as λ = 0.5, ζ1 = ζ2 = ζ3 = 1, k = 1+0.3i in panels (a), (c), (e), and λ = 0.5, ζ1(1)=ζ2(1)=ζ3(1)=ζ1(2)=ζ2(2)=ζ3(2)=1 , k1 = 1+0.3i, k2 = 1−0.3i in panels (d), (e), and (f).