N -soliton solutions for a variable coefficient trihydrogen chain α -helix protein system with gain or loss terms

In this paper, a class of variable coefficient coupled Schrödinger equations with gain or loss terms is studied, which can be used to describe soliton excitation in non-uniform trihydrogen chain α -helix proteins. The N -soliton solutions of this equation are obtained by using the Hirota bilinear method, the 1,2, 3-soliton solutions are numerically simulated, and their dynamic properties are analyzed. On this basis, the asymptotic behavior of soliton solutions is discussed. Besides, the influence of variable coefficient function and other parameters on solitons is studied, the corresponding rules are summarized.