Rogue wave solutions of the three-component high-order nonlinear Schr?dinger equation in α-helix protein
The three-component higher-order nonlinear Schrödinger equation is used as the governing equation for the propagation of biological energy along the molecular chain of alpha helical proteins with interspine coupling at higher order,and the rogue waves excited by three coupled wave functions in the limit state are investigated.Based on the Lax pair representation of the governing model,the determinant form of the Darboux transformation is derived using the gauge transformation.Through the variables separation of Lax pair and the introduction of translation parameters,the algebraic conditions for the excitation of rogue wave are given.Furthermore,the fundamental characteristic functions of the rogue wave solution are constructed with the multisection of power series,with the use of which the degenerated Darboux transformation is derived.Finally,the rogue wave solutions are obtained using degenerated Darboux transformation and the waveform evolution,and extreme value trajectory of rogue waves are illustrated with three-dimensional figures under different parameters.
NETL
NSTL
万方数据
维普
