A survey of the properties of soliton type solutions to non-linear wave equations appearing
in various fields of physics is given. For the most part the description deals with non …

Exact solutions of nonlinear differential equations are of great importance to the theory and
practice of complex systems. The main point of this review article is to discuss a specific …

A large member of lump chain solutions of the (2+ 1)-dimensional Bogoyavlenskii–
Kadomtsev–Petviashvili (BKP) equation are constructed by means of the τ-function in the …

VE Zakharov, AB Shabat, “Integration of nonlinear equations of mathematical physics by the
method of inverse scattering. II”, Funktsional. Anal. i Prilozhen., 13:3 (1979), 13–22; Funct. Anal …

We show that the methodology based on the generalized inverse scattering transform (IST)
concept provides a systematic way to discover the novel exactly integrable nonlinear …

The book is devoted to the mathematical theory of soliton phenomena on the plane. The
inverse spectral transform method which is a main tool for the study of the (2+ 1) …

The existence of exponentially localized structures in a (2+ 1)-dimensional breaking soliton
equation is studied here. A singularity structure analysis of the (2+ 1)-dimensional breaking …

The soliton represents one ofthe most important ofnonlinear phenomena in modern physics.
It constitutes an essentially localizedentity with a set ofremarkable properties. Solitons are …

Abstract This paper investigates the (2+ 1)-dimensional Bogoyavlensky–Konopelchenko
equation with variable coefficients via the generalized unified method. Mixed type of N …

The present article deals with multi‐waves and breather wave solutions of the generalized
Bogoyavlensky‐Konopelchenko equation by virtue of the Hirota bilinear operator method …