Results 101 to 110 of about 3,171,507 (251)

A simple and direct method for generating travelling wave solutions for nonlinear equations

, 2007
We propose a simple and direct method for generating travelling wave solutions for nonlinear integrable equations. We illustrate how nontrivial solutions for the KdV, the mKdV and the Boussinesq equations can be obtained from simple solutions of linear ...
A. Silva, Ablowitz, Ablowitz, Ablowitz, Almeida, Ashok Das, Bazeia, Bazeia, Bazeia, Boussinesq, D. Bazeia, Das, Dickey, Drazin, Faddeev, Gardner, Hirota, Korteweg, L. Losano, Lax, Lax, Mathieu, Miura, Olver, Whitham, Zakharov, Zakharov, Zakharov   +27 more
core   +1 more source

Analytical Model of Velocity Distribution and Penetration Characteristics in Water‐Level Fluctuation Zone With Vegetation

Water Resources Research, Volume 62, Issue 2, February 2026.
Abstract As a critical ecological transition zone between aquatic and terrestrial ecosystems, the water‐level fluctuation zone significantly influences flow structure through vegetation morphology. Conventional analytical velocity models inadequately address the variation in vegetation with water depth.
An‐Qi Li, Xiao‐Bo Liu, Wei‐Jie Wang, Zhuo‐Wei Wang, Feng‐Jiao Li, Ming‐Yang Xu, Wei Huang   +6 more
wiley   +1 more source

Collision dynamics of high-order localized waves in a novel (3+1)-dimensional integrable Boussinesq model

Results in Physics
The pursuit of finding precise solutions for complex nonlinear systems in high dimensions has long been a significant goal in the fields of mathematics and physics.
Yujun Niu, Qionglin Yuan, Behzad Ghanbari, Zhao Zhang, Yulei Cao   +4 more
doaj   +1 more source

Prohibitions caused by nonlocality for Alice-Bob Boussinesq-KdV type systems

, 2018
It is found that two different celebrate models, the Korteweg de-Vrise (KdV) equation and the Boussinesq equation, are linked to a same model equation but with different nonlocalities. The model equation is called the Alice-Bob KdV (ABKdV) equation which
Lou, S. Y.
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Exploring the Effects of Reduced Gravitational Field Impacts on Convective Heat Transfer: A Comprehensive Review

Heat Transfer, Volume 55, Issue 1, Page 764-774, January 2026.
ABSTRACT This review explores the impact of gravitational instability on convective heat transfer, integrating existing research results and theoretical models. Gravitational instability is vital in promoting or hindering convective actions in different systems, such as atmospheric events, ocean currents, and industrial processes.
Hossam A. Nabwey, Muhammad Ashraf, A. M. Rashad, Ali J. Chamkha   +3 more
wiley   +1 more source

Analytical smoothing effect of solution for the boussinesq equations

, 2017
In this paper, we study the analytical smoothing effect of Cauchy problem for the incompressible Boussinesq equations. Precisely, we use the Fourier method to prove that the Sobolev H 1-solution to the incompressible Boussinesq equations in periodic ...
Cheng, F, Xu, C. -J
core   +1 more source

Evolution equation for bidirectional surface waves in a convecting fluid

, 2006
Surface waves in a heated viscous fluid exhibit a long wave oscillatory instability. The nonlinear evolution of unidirectional waves is known to be described by a modified Korteweg-deVries-Kuramoto-Sivashinsky equation.
Depassier, M. C.
core   +1 more source

Numerical approximations of groundwater flow problem using fractional variational iteration method with fractional derivative of singular and nonsingular kernels

International Journal of Mathematics for Industry
This study aims to present the numerical approximations of groundwater flow problem, namely the time-fractional Boussinesq equation using the fractional variational iteration method.
Pravindra Kumar, Mahaveer Prasad Yadav
doaj   +1 more source

Two Different Systematic Techniques to Seek Analytical Solutions of the Higher-Order Modified Boussinesq Equation

IEEE Access, 2019
In this paper, we seek analytical solutions of the higher-order modified Boussinesq equation by two different systematic techniques. Employing the exp $(-\psi (z))$ -expansion method, exact solutions of the mentioned equation, including hyperbolic ...
Yongyi Gu, Yinying Kong
doaj   +1 more source

The Cauchy problem for operator-Boussinesq equations

, 2017
In this paper, the existence and uniqueness of solution of the Cauchy problem for abstract Boussinesq equation is obtained. By applying this result, the Cauchy problem for systems of Boussinesq equations of finite or infinite orders are ...
Shakhmurov, Veli
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