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 …

In this paper, we construct an extended Bogoyavlenskii‐Kadomtsev‐Petviashvili (eBKP)
equation. We use the Painlevé analysis to justify the integrability of the eBKP equation. We …

In this paper a numerical technique is proposed for solving the nonlinear generalized
Benjamin–Bona–Mahony–Burgers and regularized long-wave equations. Firstly, we obtain …

In the present study, the nonlinear Boussinesq type equation describe the bi-directional
propagation of small amplitude long capillary–gravity waves on the surface of shallow water …

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 …

This paper proposes an approach based on the Galerkin weak form and moving least
squares (MLS) approximation to simulate three space dimensional nonlinear wave equation …

With symbolic computation, Bell-polynomial scheme and bilinear method are applied to a
two-dimensional Korteweg–de Vries (KdV) model, which is firstly proposed with Lax pair …

This paper discusses bright, dark and singular optical soliton as well as complexiton
solutions to the coupled Fokas–Lenells equation (FLE) for birefringent fibers by three …

We investigate two Boussinesq equations where the fourth-order terms come with minus
and plus signs. We show that the Boussinesq equation with minus fourth-order term gives …

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 …