In this paper, we investigate a (3+ 1)-dimensional generalized variable-coefficient
Kadomtsev-Petviashvili (GVCKP) equation in a fluid or plasma. The Nth-order Wronskian …

The lump solutions have been shown to be one of the most effective solutions for nonlinear
evolution problems. The resilient Hirota bilinear method is used to evaluate the integrable …

Abstract The (2+ 1)-dimensional Chaffee–Infante has a wide range of applications in
science and engineering, including nonlinear fiber optics, electromagnetic field waves …

In this work, shallow ocean-wave soliton, breather, and lump wave solutions, as well as the
characteristics of interaction between the soliton and lump wave in a multi-dimensional …

In this study, a dimensionally nonlinear evolution equation, which is the integrable shallow
water wave-like equation, is investigated utilizing the Hirota bilinear approach. Lump …

In this article, the solution of the time-fractional Phi-4 equation is investigated. We implement
the residual power series method to approximate the solution of this equation. Numerical …

Under investigation in this paper is a generalized (3+ 1)-dimensional Kadomtsev–
Petviashvili equation in fluid dynamics and plasma physics. Soliton and one-periodic-wave …

In this paper, we introduce the new nonlinear two-mode coupled Korteweg–de Vries. We
find the necessary conditions of dispersion parameter and the nonlinearity parameter that …

In this paper, under investigated is a generalized (3+ 1)-dimensional Camassa–Holm–
Kadomtsev–Petviashvili (gCH-KP) equation, which describes the role of dispersion in the …

In this paper, we study the system of the two-mode coupled mKdV using the simplified
bilinear method. We find the necessary conditions that make the solutions exists. In addition …