The N-rational solutions to two (2+ 1)-dimensional nonlinear evolution equations are
constructed by utilizing the long wave limit method. M-lump solutions to the two equations …

In this study, we apply a new “Inverse (G′/G)-Expansion Method” for extracting novel
soliton solutions in the context of the (2+ 1)-dimensional generalized Benjamin–Ono (gBO) …

We show that complex higher-order lump patterns can be constructed in two different ways
within the Kadomtsev–Petviashvili (KP1) equation which describes nonlinear wave …

We study rational solutions of the Boussinesq equation, which is a soliton equation solvable
by the inverse scattering method. These rational solutions, which are algebraically decaying …

This paper studies on an evolution model by means of bilinear neural network method,
which is a high dimensional model. Firstly, we give the structure framework and the pattern …

A lot of work has been reported to present some numerical results on pair-ion–electron
plasmas. However, very few works have reported the corresponding mathematical analytical …

A new variant of the (2+ 1)(2+ 1)-dimensional (2+ 1) d (2+ 1) d Boussinesq equation was
recently introduced by Zhu Line soliton and rational solutions to (2+ 1)-dimensional …

We show that universal rogue wave patterns exist in integrable systems. These rogue
patterns comprise fundamental rogue waves arranged in shapes such as a triangle …

By virtue of the bilinear method and the Kadomtsev–Petviashvili (KP) hierarchy reduction
technique, wider classes of high‐order breather and semirational and rogue wave solutions …

This work deals with the dynamics of higher-order rogue waves in a new integrable (2+ 1)-
dimensional Boussinesq equation governing the evolution of high and steep gravity water …