Search
Search Results
-
Influence of uncertain coriolis parameter on wave solution of Korteweg-de Vries equation
This article examines the approximate solution of the Geophysical Korteweg-de Vries (GKdV) equation in a fuzzy environment. The Adomian decomposition...
-
In the Atmosphere and Oceanic Fluids: Scaling Transformations, Bilinear Forms, Bäcklund Transformations and Solitons for A Generalized Variable-Coefficient Korteweg-de Vries-Modified Korteweg-de Vries Equation
The atmosphere is an evolutionary agent essential to the sha** of a planet, while in oceanic science and daily life, liquids are commonly seen. In...
-
Bifurcation Analysis of Tsunami Waves for the Modified Geophysical Korteweg–de Vries Equation
Bifurcation analysis ofJha, Aranya tsunamiTyagi, Manav wavesAnand, Harshvardhan forSaha, Asit the modified geophysical Korteweg–de Vries equation...
-
Hetero-Bäcklund Transformation, Bilinear Forms and N Solitons for a Generalized Three-Coupled Korteweg-de Vries System
Korteweg-de Vries-type models attract people’s attention during the studies on the cosmic plasmas, planetary oceans and atmospheres. In this paper,...
-
Fractal representation of tsunami waves: a generalized geophysical gardner equation
Dynamical properties of tsunami waves for the generalized geophysical Gardner equation (GGGE) are investigated through phase plane analysis. Using...
-
-
The geophysical KdV equation: its solitons, complexiton, and conservation laws
The main goal of the current paper is to analyze the impact of the Coriolis parameter on nonlinear waves by studying the geophysical KdV equation....
-
Double Tchebyshev Spectral Tau Algorithm for Solving KdV Equation, with Soliton Application
The study of partial differential wave equations arising from shallow water theory has been a discipline of augmenting passion in disparate fields of...
-
Double Tchebyshev Spectral Tau Algorithm for Solving KdV Equation, with Soliton Application
The study of partial differential wave equations arising from shallow water theory has been a discipline of augmenting passion in disparate fields of...
-
Evolution and interaction of soliton solutions of Rossby waves in geophysical fluid mechanics
Here, we study a nonlinear evolution equation with the dissipation effect, which is derived from potential vorticity equation of geophysical fluid...
-
Spatiotemporal variations of parameters of internal solitary waves in the northern South China Sea
The dynamic parameters for internal solitary waves (ISWs) derived from the extended Korteweg-de Vries (eKdV) equation play an important role in the...
-
On the Comparison of Two Meshless Finite Difference Methods for Solving Shallow Water Equations
In this article, we present a numerical analysis of the Korteweg-de Vries (KdV) and Regularized Long Wave (RLW) equations using a finite difference...
-
Study of two soliton and shock wave structures by weighted residual method and Hirota bilinear approach
The dissipation effect in the viscous plasma is expressed in the current study by a Burgers term. The Weighted Residual Method is used to produce a...
-
Exact solutions to the forced KdV equation via three efficient techniques
In this work, the exact travelling wave solutions to the forced Korteweg–de Vries (fKdV) equation with different force terms are studied with the...
-
Assessment of theoretical approaches to derivation of internal solitary wave parameters from multi-satellite images near the Dongsha Atoll of the South China Sea
This study assesses the accuracy and the applicability of the Korteweg-de Vries (KdV) and the nonlinear Schrödinger (NLS) equation solutions to...
-
Dynamics of Rossby solitary waves with time-dependent mean flow via Euler eigenvalue model
The investigation on the fluctuations of nonlinear Rossby waves is of great importance for the understanding of atmospheric or oceanic motions. The...
-
Multiple bifurcation solitons, lumps and rogue waves solutions of a generalized perturbed KdV equation
The perturbed KdV equation has many applications in mechanics and sound propagation in fluids. The aim of this manuscript is to study novel crucial...
-
Unraveling the dynamic complexity: exploring the (3+1)-dimensional conformable mKdV-ZK equation
The primary objective of this article is to construct novel solitary wave solutions for the nonlinear (3+1)-dimensional modified Korteweg-de...
-
Wave interaction for a generalized higher-dimensional Boussinesq equation describing the nonlinear Rossby waves
Based on an algebraically Rossby solitary waves evolution model, namely an extended (2+1)-dimensional Boussinesq equation, we firstly introduced a...
-
Theoretical analysis of equatorial near-inertial solitary waves under complete Coriolis parameters
An investigation of equatorial near-inertial wave dynamics under complete Coriolis parameters is performed in this paper. Starting from the basic...