Non-linear periodic long waves based on Boussinesq equation for shallow water waves: A coupled FEM modeling

2022 ◽  
Vol 245 ◽  
pp. 110469
Author(s):  
Sukhwinder Kaur ◽  
Prashant Kumar ◽  
Rajni
Keyword(s):  
Shallow Water ◽  
Water Waves ◽  
Boussinesq Equation ◽  
Long Waves ◽  
Shallow Water Waves ◽  
Fem Modeling ◽  
Non Linear

scholarly journals Nonlinear self adjointness, conservation laws and exact solutions of ill-posed Boussinesq equation

Open Physics ◽  
2016 ◽  
Vol 14 (1) ◽  
pp. 37-43 ◽  
Author(s):  
Emrullah Yaşar ◽  
Sait San ◽  
Yeşim Sağlam Özkan
Keyword(s):  
Conservation Laws ◽  
Exact Solutions ◽  
Shallow Water ◽  
Water Waves ◽  
Function Method ◽  
Boussinesq Equation ◽  
Lie Point Symmetries ◽  
Shallow Water Waves ◽  
Non Linear ◽  
Ill Posed

AbstractIn this work, we consider the ill-posed Boussinesq equation which arises in shallow water waves and non-linear lattices. We prove that the ill-posed Boussinesq equation is nonlinearly self-adjoint. Using this property and Lie point symmetries, we construct conservation laws for the underlying equation. In addition, the generalized solitonary, periodic and compact-like solutions are constructed by the exp-function method.

scholarly journals Gaussian solitary waves to Boussinesq equation with dual dispersion and logarithmic nonlinearity

2018 ◽  
Vol 23 (6) ◽  
pp. 942-950 ◽  
Author(s):  
Anjan Biswasa ◽  
Mehmet Ekici ◽  
Abdullah Sonmezoglu
Keyword(s):  
Solitary Wave ◽  
Shallow Water ◽  
Solitary Waves ◽  
Water Waves ◽  
Trial Function ◽  
Boussinesq Equation ◽  
Solitary Wave Solutions ◽  
Shallow Water Waves ◽  
Wave Solutions ◽  
Extended Trial

This paper discusses shallow water waves that is modeled with Boussinesq equation that comes with dual dispersion and logarithmic nonlinearity. The extended trial function scheme retrieves exact Gaussian solitary wave solutions to the model.

The evolution of time-periodic long waves of finite amplitude

1970 ◽  
Vol 44 (1) ◽  
pp. 195-208 ◽  
Author(s):  
O. S. Madsen ◽  
C. C. Mei ◽  
R. P. Savage
Keyword(s):  
Shallow Water ◽  
Water Waves ◽  
Finite Amplitude ◽  
Long Waves ◽  
Shallow Water Waves ◽  
Wave Maker ◽  
Steep Waves ◽  
Time Periodic ◽  
Moderate Magnitude ◽  
Approximate Equations

The breakdown of shallow water waves into forms exhibiting several secondary crests is analyzed by numerical computations based on approximate equations accounting for the effects of non-linearity and dispersion. From detailed results of two cases it is shown that when long waves are such that the parameter σ = ν*L*2/h*3 is of moderate magnitude, either due to initially steep waves generated at a wave-maker or due to forced amplification by decreasing depth, waves periodic in time do not remain simply periodic in space. Numerical results are compared with experiments for waves propagating past a slope and onto a shelf.

scholarly journals Dynamics of shallow water waves with Boussinesq equation

2013 ◽  
Author(s):  
A.J.M. Jawad ◽  
M.D. Petković ◽  
P. Laketa ◽  
A. Biswas
Keyword(s):  
Shallow Water ◽  
Water Waves ◽  
Boussinesq Equation ◽  
Shallow Water Waves

Generalized boussinesq model for periodic non-linear shallow-water waves

1996 ◽  
Vol 23 (4) ◽  
pp. 309-323 ◽  
Author(s):  
L. Jiang ◽  
X. Ren ◽  
K.-H. Wang ◽  
K.-R. Jin
Keyword(s):  
Shallow Water ◽  
Water Waves ◽  
Shallow Water Waves ◽  
Boussinesq Model ◽  
Non Linear
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