A comprehensive review of spatiotemporal pattern formation in systems driven away from
equilibrium is presented, with emphasis on comparisons between theory and quantitative …

Solitons, nonlinear self-trapped wavepackets, have been extensively studied in many and
diverse branches of physics such as optics, plasmas, condensed matter physics, fluid …

Within the Hirota bilinear formulation, we construct N-soliton solutions and analyze the
Hirota N-soliton conditions in (2+ 1)-dimensions. A generalized algorithm to prove the Hirota …

The paper aims to provide a brief overview of soliton solutions obtained through the Hirota
direct method. A bilinear formulation of soliton solutions in both (1+ 1)-dimensions and (2+ …

Two simultaneous nonlocal group constraints of the Ablowitz-Kaup-Newell-Segur matrix
eigenvalue problems are discussed, of which one constraint changes the eigenvalue …

We compute N-soliton solutions and analyze the Hirota N-soliton conditions, in (2+ 1)-
dimensions, based on the Hirota bilinear formulation. An algorithm to check the Hirota …

This paper presents an investigation of soliton solutions for the perturbed Fokas-Lenells
(pFL) equation, which has a vital role in optics, using Sardar sub-equation method. The …

This book brings together several aspects of soliton theory currently available only in
research papers. Emphasis is given to the multi-dimensional problems which arise and …

Solitons are a fascinating topic for study and a major source of interest for potential
application in optical communication. Possibly the first observation of a soliton occurred in …

" An exceptionally complete overview. There are numerous examples and the emphasis is
on applications to almost all areas of science and engineering. There is truly something for …