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One of the phenomenon in marine science that is often encountered is the phenomenon of water waves. Waves that occur below the surface of seawater are called internal waves. One of the mathematical models that can represent solitary internal waves is the ... see more

A solitary wave in two-dimensional, incompressible, turbulent free-surface flow over a plane bottom with small, constant slope is considered. The flow is assumed to be slightly supercritical with Froude numbers close to 1. If the flow far upstream and far... see more

In this research, we introduce and represent the modified Khater method on two basic models in the optical fiber. These two models describe the dynamics of the wave movement in the optical fiber.  It is a new modification of new recent method which d... see more

In this paper, we employ mapping methods to construct exact travelling wave solutions for a modified Korteweg-de Vries equation. We have derived periodic wave solutions in terms of Jacobi elliptic functions, kink solutions and singular wave solutions in t... see more

The nonlinear magnetosonic solitons are investigated in magnetized dense plasma for quantum effects of degenerate electrons in this research work. After reviewing the basic introduction of quantum plasma, we described the nonlinear phenomenon of magnetoso... see more

Different forms of the Korteweg -- de Vries equation and their invariants are presented. Different formulas for the energy  of the system described by KdV equation are compared to each other for fixed and moving coordinate systems. It is shown that t... see more

Internal soliton wave is the wave that happen below of sea surface. This wave occur is caused by distinction of mass density of seawater layer. The characteristic of this wave is defend it form and velocity. The aim of this research are to study model and... see more

Internal soliton wave is the wave that happen below of sea surface. This wave occur is caused by distinction of mass density of seawater layer. The characteristic of this wave is defend it form and velocity. The aim of this research are to study model and... see more

A theoretical evolutionary model for the nonlinear stability analysis of a planar dust molecular cloud (DMC) in quasi-neutral hydrodynamic equilibrium on the Jeans scales of space and time is developed. It is based on a self-gravitating multi-fluid model ... see more

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