Abstract
In this paper, we mainly investigate the high-order localized waves in the (2+1)-dimensional Ito equation. By introducing a translation parameter and employing the Hirota derivative operator, we construct and analyze three kinds of high-order localized waves with a translation parameter: high-order line soliton, lump-type localized wave and their hybrid solutions. The obtained results show that nonlinear localized waves with a translation parameter have more plentiful dynamical behaviors. It is shown that the plus and minus resonance phenomena of two line solitons can be controlled by a translation parameter. The direction of propagation and symmetry characteristics of lump-type localized wave can be also governed by this translation parameter. Through analyzing the time delay effect we finally discuss and demonstrate the absorb-emit and emit-absorb interactions between a line soliton and a lump-type localized wave.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
