Rogue waves is the name given by oceanographers to isolated large amplitude waves, that
occur more frequently than expected for normal, Gaussian distributed, statistical events …

In this essay we give an overview on the problem of rogue or freak wave formation in the
ocean. The matter of the phenomenon is a sporadic occurrence of unexpectedly high waves …

Through symbolic computation with Maple, the rational solutions and the lump solutions of
the generalized (3+ 1)-dimensional Shallow Water-like equation are presented by using the …

We present an explicit analytic form for the two-breather solution of the nonlinear
Schrödinger equation with imaginary eigenvalues. It describes various nonlinear …

A bstract Utilizing some conservation laws of (1+ 1)-dimensional integrable local evolution
systems, it is conjectured that higher dimensional integrable equations may be regularly …

Using the Darboux transformation technique and numerical simulations, we study the
hierarchy of rational solutions of the nonlinear Schrödinger equation that can be considered …

We consider the family of 2nd order rogue wave rational solutions of the nonlinear
Schrödinger equation (NLSE) with two free parameters. Surprisingly, these solutions …

The rogue wave and a pair of resonance stripe solitons to KP equation are discovered. First,
based on the bilinear method, some lump solutions are obtained containing six parameters …

This article describes the infinite conservation law, quasi-periodic wave, breather, lump, and
characteristic of integrability via bilinear Bäcklund and lax pairs of the non-autonomous …

In this paper, we investigate higher-order rogue wave solutions of the Kundu–Eckhaus
equation, which contains quintic nonlinearity and the Raman effect in nonlinear optics. By …