Nonlinear components of wakes from large high-speed ships at times carry a substantial
part of the wake energy and behave completely differently compared to the classical Kelvin …

“It came from nowhere, snapping giant ships in two. No one believed the survivors... until
now”—New Scientist magazine cover, June 30, 2001 Rogue waves are the focus of this …

The work studies some integrable properties and soliton type solutions of a non-
autonomous Gardner equation with damping and forcing terms. A bilinear form, a bilinear …

Rogue periodic waves stand for rogue waves on a periodic background. Two families of
travelling periodic waves of the modified Korteweg–de Vries (mKdV) equation in the …

Generation of large-amplitude short-lived wave groups from small-amplitude initial
perturbations in plasmas is discussed. Two particular wave modes existing in plasmas are …

A third-order nonlinear envelope equation is derived for surface waves in finite-depth water
by assuming small wave steepness, narrow-band spectrum, and small depth as compared …

This article examines the soliton-type solutions, their interactions, and the integrable
properties of a non-autonomous perturbed Gardner KP (NPGKP) equation. For the NPGKP …

Dynamics of random multi-soliton fields within the framework of the modified Korteweg–de
Vries equation is considered. Statistical characteristics of a soliton gas (distribution functions …

In this work, we study, in a systematic way, dust-acoustic modulated envelope structures
such as rogue waves (unstable waves) and dark soliton (stable waves) collisions in a …

In this paper we study the propagation of nonlinear ion-acoustic waves in plasmas with
negative ions. The Gardner equation governing these waves in plasmas with the negative …