Search
Search Results
-
Solitary-Wave Solutions of Benjamin–Ono and Other Systems for Internal Waves: II. Dynamics
Considered here are two systems of equations modeling the two-way propagation of long-crested, long-wavelength internal waves along the interface of...
-
Nondissipative Discontinuity Structures and Solitary Waves in Solutions to Equations of Two-Fluid Plasma in the Electromagnetic Hydrodynamics Approximation
AbstractNumerical methods for the equations of electromagnetic hydrodynamics are described, periodic waves, solitary waves, and nondissipative...
-
Discontinuity Structures and Solitary Waves in Electromagnetic Hydrodynamics Associated with Linear and Nonlinear Alfvén Wave Resonances
AbstractNondissipative and weakly dissipative discontinuity structures are considered. A special numerical method for studying periodic waves is...
-
Periodic and Solitary Waves and Nondissipative Discontinuity Structures in Electromagnetic Hydrodynamics in the Case of Wave Resonance
AbstractA numerical method is described for studying periodic waves, solitary waves, and nondissipative discontinuity structures for the equations...
-
Spatial Dynamics and Solitary Hydroelastic Surface Waves
This paper presents an existence theory for solitary waves at the interface between a thin ice sheet (modelled using the Cosserat theory of...
-
Orbital stability of solitary waves for a two-component Novikov system
We consider solitary wave solutions of a two-component Novikov system, which is a coupled Camassa-Holm type system with cubic nonlinearity. Inspired...
-
Existence of Single-Peak Solitary Waves and Double-Peaks Solitary Wave of Gardner Equation with Kuramoto–Sivashinsky Perturbation
This paper concerns geometric study of single-peak solitary waves and double-peaks solitary wave of Gardner equation with Kuramoto–Sivashinsky...
-
Solitary waves for the delayed shallow-water wave equations
The shallow-water wave equations with different forms of delays are presented in this work, such as no delay, local delay and nonlocal delay, which...
-
The wave stability of solitary waves over a bump for the full Euler equations
In this work, we present a numerical study of the wave stability of steady solitary waves over a localised topographic obstacle through the full...
-
Optical Solitary Waves and Soliton Solutions of the (3+1)-Dimensional Generalized Kadomtsev–Petviashvili–Benjamin–Bona–Mahony Equation
AbstractIn this investigation, an appropriate traveling wave transformation has been employed to analyze the fourth-order nonlinear (3+1)-dimensional...
-
On Some Boussinesq/Full Dispersion Systems for Internal Waves: Numerical Solution and Solitary Waves
In this paper, we study some theoretical and numerical issues of the Boussinesq/Full dispersion system. This is a three-parameter system of pde’s...
-
Asymptotic stability of small standing solitary waves of the one-dimensional cubic-quintic Schrödinger equation
For the Schrödinger equation with a cubic-quintic, focusing-focusing nonlinearity in one space dimension, this article proves the local asymptotic...
-
Physics-Informed Neural Networks with Two Weighted Loss Function Methods for Interactions of Two-Dimensional Oceanic Internal Solitary Waves
The multiple patterns of internal solitary wave interactions (ISWI) are a complex oceanic phenomenon. Satellite remote sensing techniques indirectly...
-
On the stability of solitary waves in the NLS system of the third-harmonic generation
We consider the NLS system of the third-harmonic generation, which was introduced in Sammut et al. (J Opt Soc Am B 15:1488–1496, 1998.). Our interest...
-
New Family of Solitary Wave Solutions to New Generalized Bogoyavlensky–Konopelchenko Equation in Fluid Mechanics
Many mathematicians and physicists are interested in Bogoyavlensky–Konopelchenko type equations to illustrate the various dynamics of nonlinear wave...
-
Solitary traveling waves in Fermi-Pasta-Ulam-type systems with nonlocal interaction on a 2D lattice
The article deals with the Fermi-Pasta-Ulam-type systems that describe an infinite system of particles with nonlocal interaction on a two-dimensional...
-
Stability of periodic peaked solitary waves for a cubic Camassa–Holm-type equation
We investigate the orbital stability of the periodic peaked solitary wave solutions for the cubic Camassa–Holm-type equation which arises as an...
-
Solitary Waves of the Perturbed KdV Equation with Nonlocal Effects
In this paper, the Korteweg–de Vries (KdV) equation is considered, which is a shallow water wave model in fluid mechanic fields. First the existence...
-
Painlevé Analysis and Kink-Type Solitary Waves of the Geophysical KdV Equation Involving a Source
The geophysical KdV equation is used to explore the propagation of oceanic waves. In the present paper, the geophysical KdV equation involving a...
