Hybrid rogue waves and breather solutions on the double-periodic background for the Kundu-DNLS equation

Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Traveling wave solutions (35C07) Soliton solutions (35C08)

Cites Work

On rogue wave in the Kundu-DNLS equation
Rogue waves and rational solutions of a \((3+1)\)-dimensional nonlinear evolution equation
Darboux transformation and explicit solutions for two integrable equations
Waves that appear from nowhere and disappear without a trace
Integrability of nonlinear systems. Proceedings of the CIMPA school, Pondicherry University, India, January 8--26, 1996.
Integrable semi-discrete Kundu-Eckhaus equation: Darboux transformation, breather, rogue wave and continuous limit theory
Darboux transformation of a new generalized nonlinear Schrödinger equation: soliton solutions, breather solutions, and rogue wave solutions
Higher-order rational solitons and rogue-like wave solutions of the \((2+1)\)-dimensional nonlinear fluid mechanics equations
The interaction solitons for the complex short pulse equation
PINN deep learning method for the Chen-Lee-Liu equation: rogue wave on the periodic background
Rogue wave solutions for the generalized fifth-order nonlinear Schrödinger equation on the periodic background
A new fourth-order integrable nonlinear equation: breather, rogue waves, other lump interaction phenomena, and conservation laws
Modulational instability and position controllable discrete rogue waves with interaction phenomena in the semi-discrete complex coupled dispersionless system
Breathers and rogue waves on the periodic background for the Gerdjikov-Ivanov equation for the Alfvén waves in an astrophysical plasma
Integrable hierarchy of higher nonlinear Schrödinger type equations
Extended generalized Darboux transformation to hybrid rogue wave and breather solutions for a nonlinear Schrödinger equation
Non-degenerate multi-rogue waves and easy ways of their excitation
Higher-order mixed solution and breather solution on a periodic background for the Kundu equation
A study of periodic solutions and periodic background solutions for the reverse-space-time modified nonlinear Schrödinger equation
Integrable systems of derivative nonlinear Schrödinger type and their multi-Hamiltonian structure
Nonlinear Schrödinger equation on graphs: recent results and open problems
The Darboux transformation of the derivative nonlinear Schrödinger equation
An exact solution for a derivative nonlinear Schrödinger equation
Hybrid breather and rogue wave solution for a (2 + 1)-dimensional ferromagnetic spin chain system with variable coefficients
Riemann-Hilbert method and N-soliton for two-component Gerdjikov-Ivanov equation
N-soliton solutions of the KdV6 and mKdV6 equations
Symmetries and differential equations
A Liouville integrable Hamiltonian system associated with a generalized Kaup-Newell spectral problem