Investigation On The Lump?Rogue Waves And Solitons In The Optical And Fluid Models

Nonlinear evolution equations have been used to represent the non-linear physical phenomena in several fields.In this paper,three nonlinear evolution equations and the properties of solutions are investigated.The main contents are as follows:(1)Via the bilinear form,we investigate the lump,mixed lump-stripe soliton and mixed rogue wave-stripe soliton solutions for the variable-coefficient Kadomtsev-Petviashvili equation.Figures are plotted to anal-ysis the interactions between a lump soliton and one stripe soliton,and between a rogue wave and a pair of stripe solitons.(2)Via the bilinear form,we investigate the rogue wave,mixed lump-stripe soliton and mixed rogue wave-stripe soliton solutions for a gener-alized variable-coefficient Kadomtsev-Petviashvili equation.Figures are plotted to analysis the interactions between a lump soliton and one stripe soliton,and between,a rogue wave and a pair of stripe solitons.(3)Under investigation is an integrable eighth-order variable-coefficient nonlinear Schrodinger equation in an optical fibersoliton and breather solutions are obtained.Properties of the solitons and breathers are dis-cussed graphically.Breather-to-soliton transitions are studied under cer-tain constraints.We find that there are two types of the breather-to-soliton transitions.