Abstract Objective: New generalized Schrödinger equations with polynomial nonlinearities
are considered. The Cauchy problem for these equations cannot be solved by the inverse …

A generalization of the regularized long-wave equation is considered, and the existences of
smooth soliton, peakon, and periodic solutions are established via the complete …

Abstract The (2+ 1)-dimensional Konopelchenko-Dubrovsky (KD) equation and the Landau-
Ginzburg-Higgs (LGH) equation describe the nonlinear waves with weak scattering and long …

The aim of this paper is to investigate hyperbolic rational solutions of four conformable
fractional Boussinesq-like equations using the method of exponential rational function …

In this paper, we examined four different forms of generalized (2+ 1)-dimensional
Boussinesq–Kadomtsev–Petviashvili (B-KP)-like equations. In this connection, an accurate …

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 …

The principal objective of the present paper is to manifest the exact traveling wave and
numerical solutions of the good Boussinesq (GB) equation by employing He's semiinverse …

In this work we establish two wave modes for the integrable fifth-order Korteweg-de Vries
(TfKdV) equations. We determine necessary conditions of the nonlinearity and dispersion …

Periodic and soliton solutions are presented for the (1+ 1)-dimensional classical Boussinesq
equation which governs the evolution of nonlinear dispersive long gravity wave traveling in …

In this paper, analytic solutions and dynamic properties of a variety of Boussinesq-type
equations are established via the complete discrimination system for polynomial method. All …