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Eigenfunctions and Very Singular Similarity Solutions of Odd-Order Nonlinear Dispersion PDEs
Eigenfunctions Very Singular Similarity Solutions Odd-Order Nonlinear Dispersion PDEs
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2010/11/11
Asymptotic properties of solutions of odd-order nonlinear dispersion equations are studied. The global in time similarity solutions, which lead to eigenfunctions of the rescaled ODEs, are constructed....
The Influence of the Directional Energy Distribution on the Nonlinear Dispersion Relation in a Random Gravity Wave Field
Directional Energy Distribution Nonlinear Dispersion Relation Random Gravity Wave Field
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2009/3/7
The influence of the directional distribution of wave energy on the dispersion relation is calculated numerically using various directional wave spectrum models. The results indicate that the dispersi...
Nonlinear Dispersion of Surface Gravity Waves in Shallow Water
Nonlinear Dispersion Surface Gravity Waves Shallow Water
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2008/6/6
The nonlinear dispersion of random, directionally spread surface gravity waves in shallow water is examined with Boussinesq theory and field observations. A theoretical dispersion relationship giving ...
New Similarity Reductions and Compacton Solutions for
Boussinesq-Like Equations with Fully Nonlinear Dispersion
nonlinear evolution equation B(m n) equations
similarity reduction solitary wave solution compacton solution
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2007/8/15
2001Vol.36No.4pp.385-390DOI:
New Similarity Reductions and Compacton Solutions for
Boussinesq-Like Equations with Fully Nonlinear Dispersion
YAN Zhen-Ya
Department of Ap...
New Symmetry Reductions, Dromions-Like and Compacton Solutions for a 2D
BS(m, n) Equations Hierarchy with Fully Nonlinear Dispersion
BS(m n) equations PBS(m n) equation symmetry reduction solitary wave solution dromion solution compacton solution
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2007/8/15
2002Vol.37No.3pp.269-276DOI:
New Symmetry Reductions, Dromions-Like and Compacton Solutions for a 2D
BS(m, n) Equations Hierarchy with Fully Nonlinear Dispersion
YAN Zhen-Ya
...