A Comparative Study on Generation and Propagation of Nonlinear Waves in Shallow Waters

A Comparative Study on Generation and Propagation of Nonlinear Waves in Shallow Waters

This study is concerned with the generation and propagation of strongly nonlinear waves in shallow water. A numerical wave flume is developed where nonlinear waves of solitary and cnoidal types are generated by use of the Level I Green-Naghdi (GN) equations by a piston-type wavemaker. Waves generate...

Full description

Bibliographic Details
Main Authors:	Jiaqi Liu, Masoud Hayatdavoodi, R. Cengiz Ertekin
Format:	Article
Language:	English
Published:	MDPI AG 2023-04-01
Series:	Journal of Marine Science and Engineering
Subjects:	Green–Naghdi equations Navier–Stokes equations Boussinesq equations KdV equation solitary wave cnoidal wave
Online Access:	https://www.mdpi.com/2077-1312/11/5/917

Similar Items

Abundant general solitary wave solutions to the family of KdV type equations
by: Md. Azmol Huda, et al.
Published: (2017-03-01)

The long-time behavior of solitary waves for the weakly damped KdV equation
by: Yansheng Zhong, et al.
Published: (2023-01-01)

Symbolic computation of solutions for three generalized nonlinear partial differential eQuations by using the tanh method
by: Alvaro H. Salas, et al.
Published: (2009-06-01)

Novel solutions to the coupled KdV equations and the coupled system of variant Boussinesq equations
by: Shao-Wen Yao, et al.
Published: (2023-02-01)

Nonlinear Transformation of Sine Wave within the Framework of Symmetric (2+4) KdV Equation
by: Oxana Kurkina, et al.
Published: (2022-03-01)

Traveling wave behavior of new (2+1)-dimensional combined KdV–mKdV equation
by: Miguel Vivas-Cortez, et al.
Published: (2023-02-01)

Comparison of navier-stokes equations and shallow water equations for water level simulation /
by: Daut Daman, et al.
Published: (2004)

On the exact soliton solutions of fifth-order Korteweg-de Vries equation for surface gravity waves
by: Qin Yang, et al.
Published: (2021-07-01)

Some more bounded and singular pulses of a generalized scale-invariant analogue of the Korteweg–de Vries equation
by: Sayed Saifullah, et al.
Published: (2023-09-01)

Analytical solutions of nonlinear time fractional evaluation equations via unified method with different derivatives and their comparison
by: Muhammad Naveed Rafiq, et al.
Published: (2021-07-01)

Solving Partial Differential Equations Using Deep Learning and Physical Constraints
by: Yanan Guo, et al.
Published: (2020-08-01)

A note on local smoothing effects for the unitary group associated with the KdV equation
by: Xavier Carvajal
Published: (2008-04-01)

Lie Group Method for Solving the Generalized Burgers’, Burgers’–KdV and KdV Equations with Time-Dependent Variable Coefficients
by: Mina B. Abd-el-Malek, et al.
Published: (2015-10-01)

Travelling wave solutions for the Painleve-integrable coupled KdV equations
by: Xiao-Biao Lin, et al.
Published: (2008-06-01)

Exact Jacobi elliptic solutions of some models for the interaction of long and short waves
by: Bruce Brewer, et al.
Published: (2024-01-01)

Exploration of solitary wave solutions of highly nonlinear KDV–KP equation arise in water wave and stability analysis
by: Sonia Akram, et al.
Published: (2023-11-01)

Bifurcation Analysis and Numerical Study of Wave Solution for Initial-Boundary Value Problem of the KdV-BBM Equation
by: Teeranush Suebcharoen, et al.
Published: (2022-10-01)

Solitary Wave Interactions with an External Periodic Force: The Extended Korteweg-de Vries Framework
by: Marcelo V. Flamarion, et al.
Published: (2022-12-01)

Travelling wave solutions of the generalized nonlinear fifth-order KdV water wave equations and its stability
by: Aly R. Seadawy, et al.
Published: (2017-07-01)

Traveling waves for a dissipative modified KdV equation
by: M.B.A. Mansour
Published: (2012-07-01)

A Survey of Schematic of Vacuum Quantum Structure: General Equation for EBSF (III)
by: Xiaodong Yang, et al.
Published: (2023-01-01)

Nonlinear long waves in shallow water for normalized Boussinesq equations
by: Mosito Lekhooana, et al.
Published: (2024-04-01)

Some exact solutions to the generalized Korteweg–de Vries equation and the system of shallow water wave equations
by: Ihsan Timuçin Dolapci, et al.
Published: (2013-01-01)

Nonlinear shallow water waves: A fractional order approach
by: Sarmad Arshad, et al.
Published: (2016-03-01)

Scattering of Nonlinear Periodic (Cnoidal) Waves by a Partially Immersed Box-Type Breakwater
by: Xing Lu, et al.
Published: (2022-01-01)

The Physical vs. Mathematical Problem of Navier-Stokes Equations (NSE)
by: Horia DUMITRESCU, et al.
Published: (2023-03-01)

Weak asymptotic method for the study of propagation and interaction of infinitely narrow delta-solitons
by: Vladimir G. Danilov, et al.
Published: (2003-09-01)

Non-local residual symmetry and soliton-cnoidal periodic wave interaction solutions of the KdV6 equation
by: Luwei Zhang, et al.
Published: (2023-04-01)

New Localized and Periodic Solutions to a Korteweg–de Vries Equation with Power Law Nonlinearity: Applications to Some Plasma Models
by: Samir A. El-Tantawy, et al.
Published: (2022-01-01)

The 2D Zakharov-Kuznetsov-Burgers equation on a strip
by: Nikolai Andreevitch Larkin
Published: (2016-03-01)

Novel hyperbolic and exponential ansatz methods to the fractional fifth-order Korteweg–de Vries equations
by: Choonkil Park, et al.
Published: (2020-11-01)

A finite element method for the three-dimensional non-steady navier-stokes equations /
by: Mizukami, A, et al.

Learning the Nonlinear Solitary Wave Solution of the Korteweg–De Vries Equation with Novel Neural Network Algorithm
by: Ying Wen, et al.
Published: (2023-04-01)

Nonexistence of soliton-like solutions for defocusing generalized KdV equations
by: Soonsik Kwon, et al.
Published: (2015-02-01)

Well and ill-posed problems for the KdV and Kawahara equations
by: Nikolai A. Larkin, et al.
Published: (2008-11-01)

THREE-DIMENSIONAL NUMERICAL SIMULATION OF TSUNAMI WAVES BASED ON THE NAVIER-STOKES EQUATIONS
by: Andrey Kozelkov, et al.
Published: (2017-12-01)

Periodic, Singular and Dark Solitons of a Generalized Geophysical KdV Equation by Using the Tanh-Coth Method
by: Surapol Naowarat, et al.
Published: (2023-01-01)

New doubly-periodic solutions for the new integrable non local modified KdV equation
by: S. Shamseldeen, et al.
Published: (2017-12-01)

Phase Shifts in the Counter-Interaction of Shallow Water Waves
by: A.A. Rodin, et al.
Published: (2023-06-01)

Abundant closed form wave solutions to some nonlinear evolution equations in mathematical physics
by: M. Mamun Miah, et al.
Published: (2020-09-01)