Elliptic-rogue waves and modulational instability in nonlinear soliton equations
Elliptic-rogue waves and modulational instability in nonlinear soliton equations
We present elliptic-rogue wave solutions for integrable nonlinear soliton equations in rational form by elliptic functions. Unlike solutions generated on the plane wave background, these solutions depict rogue waves emerging on elliptic function backgrounds. By refining the modified squared wave function method in tandem with the Darboux-Bäcklund transformation, we establish …