Abstract
Abstract
In this study, two new theorems are generalized. We obtained a new paradigm about the second order rogue wave and multiple exponential functions, and a new paradigm about the second order rogue wave and multiple hyperbolic cosine functions. Six sets of interaction solutions of the model are solved by means of symbolic calculation and two new theorems. Meaningful graphs of the propagation processes along time demonstrated the interaction phenomena for these solutions. The energy transfer process can be observed when the second order rogue waves interact with multiple exponential functions or multiple hyperbolic cosine functions. As a conclusion from our paper, the solitons’ energy transfers to the second order rogue wave at beginning, the rogue wave’s energy dissipates and transfers to the solitons along the time moving. It will contribute to the research on the generation of rogue waves.
Funder
National Natural Science Foundation of China
The Natural Science Foundation of Inner Mongolia
The Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region
Inner Mongolia Autonomous Region University research Project
The Program for improving the Scientific Research Ability of Youth Teachers of Inner Mongolia Agricultural University
The Basic Research Operation Funds for Universities directly under Inner Mongolia Autonomous Region