Steady-state interfacial waves under a one-dimensional (1-D) class-IV exact triad resonance
are investigated in a two-layer fluid with a free surface upper boundary. Four groups (G1 …

Oceans that are stratified by density into distinct layers support internal waves. An internal
soliton gives rise to characteristic features on the surface, a signature of its presence, in the …

In a fluid system in which two immiscible layers are separated by a sharp free interface,
there can be strong coupling between large amplitude nonlinear waves on the interface and …

The mathematical study of travelling waves, in the context of two-dimensional potential flows
in one or several layers of perfect fluid (s) and in the presence of free surface and interfaces …

We investigate the steady-state harmonic resonance of periodic interfacial gravity waves in a
two-layer fluid with free surface. Two independent 'external'and 'internal'modes with …

Steady-state resonant interfacial waves in a two-layer fluid within a frictionless duct are
investigated theoretically. A combination of the homotopy analysis method (HAM) and …

Steady solitary and generalized solitary waves of a two-fluid problem where the upper layer
is under a flexible elastic sheet are considered as a model for internal waves under an ice …

In a two-fluid system where the lower fluid is bounded below by a rigid bottom and the upper
fluid is bounded above by a free surface, two kinds of solitary waves can propagate along …

Steady-state interfacial waves under two-dimensional (2D) type-A exact triad resonance and
other related resonances are researched in a two-layer liquid model with a free surface in …

A variety of problems in nonlinear science can be modelled by a system of two coupled long
wave equations. In such systems, a resonance between a solitary wave of one of the two …