In the past years there was a huge interest in experimental and theoretical studies in the
area of few-optical-cycle pulses and in the broader fast growing field of the so-called …

The general properties of a class of nonlinear Schroedinger equations: iu t+ p:∇∇ u+ f (| u|
2) u= 0 are reviewed. Conditions for existence, uniqueness, and stability of solitary wave …

Lump solutions are analytical rational function solutions localized in all directions in space.
We analyze a class of lump solutions, generated from quadratic functions, to nonlinear …

Through symbolic computation with Maple, a class of lump solutions, rationally localized in
all directions in the space, to the (2+ 1)-dimensional Kadomtsev–Petviashvili (KP) equation …

Investigated in this paper is an extended (3+ 1)-dimensional Kadomtsev-Petviashvili
equation. We determine the N-soliton solutions of that equation via an existing bilinear form …

We aim to show the diversity of interaction solutions to the (2+ 1)-dimensional Ito equation,
based on its Hirota bilinear form. The proof is given through Maple symbolic computations …

With symbolic computation, two classes of lump solutions to the dimensionally reduced
equations in (2+ 1)-dimensions are derived, respectively, by searching for positive quadratic …

The field of nonlinear dispersive waves has developed enormously since the work of Stokes,
Boussinesq and Korteweg–de Vries (KdV) in the nineteenth century. In the 1960s …

By using the Hirota bilinear form of the KP equation, twelve classes of lump–kink solutions
are presented under the help of symbolic computations with Maple. Analyticity is naturally …

The fourth-order nonlinear Boussinesq water wave equation, which explains the
propagation of long waves in shallow water, is explored in this article. We used the Lie …