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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...
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Magnetosonic Solitary Waves
AbstractThe set of equations is obtained that describes the nonlinear three-dimensional dynamics of magnetosonic waves. Plane solitary waves...
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Exploration of solitary waves and periodic optical soliton solutions to the nonlinear two dimensional Zakharov–Kuzetsov equation
In this research work, we explored the unexpected optical soliton and solitary wave to the nonlinear (2+1)-dimensional Zakharov–Kuzetsov equation by...
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Solitary Waves of Nonlinear Nonintegrable Equations
Our goal is to find closed form analytic expressions for the solitary waves of nonlinear nonintegrable partial differential equations. The suitable...
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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...
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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...
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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...
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Optical solitary waves solutions of the eight-order dispersive Schrödinger wave equation
The nonlinear dispersive eighth-order Schrödinger equation is a mathematical equation that describes the behaviour of complex wave phenomena in...
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Chirped periodic waves and solitary waves for a generalized derivative resonant nonlinear Schrödinger equation with cubic–quintic nonlinearity
We investigate the self-similar propagation of one-dimensional optical waves through optical fibers exhibiting self-steepening, dispersion,...
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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...
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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...
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Novel solitary wave solutions in dual-mode simplified modified Camassa-Holm equation in shallow water waves
This study addresses dual-mode equations, focusing on the nonlinear wave behavior characterized by simultaneous bidirectional movement influenced by...
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Certified Study of Internal Solitary Waves
We apply computer algebra techniques and drawing with a guaranteed topology of plane curves, to the study of internal gravity solitary waves in...
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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...
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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...
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Large-Amplitude Steady Solitary Water Waves with Constant Vorticity
This paper considers two-dimensional steady solitary waves with constant vorticity propagating under the influence of gravity over an impermeable...
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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...
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Analytical solution of wave-induced pore pressure under solitary waves
Previous studies have found that waves are similar to solitary waves when introduced in a flat shallow water area. Therefore, solitary waves are...
