Comparison of KP and BBM-KP Models
作者： Gideon P. Daspan , Michael M. Tom
DOI: 10.1155/2007/37274
关键词: Order of accuracy 、 Benjamin–Bona–Mahony equation 、 Nonlinear system 、 Korteweg–de Vries equation 、 Cauchy problem 、 Mathematical analysis 、 Scale (ratio) 、 Mathematics
摘要: It is shown that the solutions of pure initial-value problem for KP and regularized equations are same, within order accuracy attributable to either, on time scale 0≤t≤e−3/2, during which nonlinear dispersive effects may accumulate make an order-one relative difference wave profiles.
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hindawi.com参考文章(20)
Barry Simon, Michael Reed, Methods of Modern Mathematical Physics ,(1972)
L R Scott, J L Bona, W G Pritchard, A Comparison of Solutions of Two Model Equations for Long Waves. Dynamics in Astrophysics and Geophysics. ,vol. 20, pp. 34238- ,(1983)
Jerry L. Bona, Yue Liu, Michael M. Tom, The Cauchy Problem and Stability of Solitary-Wave Solutions for RLW–KP-Type Equations Journal of Differential Equations. ,vol. 185, pp. 437- 482 ,(2002) , 10.1006/JDEQ.2002.4171
J. Bourgain, On the Cauchy problem for the Kadomstev-Petviashvili equation Geometric and Functional Analysis. ,vol. 3, pp. 315- 341 ,(1993) , 10.1007/BF01896259
G. B. Whitham, Richard G. Fowler, Linear and Nonlinear Waves ,(1974)
Joseph L. Hammack, A note on tsunamis: their generation and propagation in an ocean of uniform depth Journal of Fluid Mechanics. ,vol. 60, pp. 769- 799 ,(1973) , 10.1017/S0022112073000479
J. P. Albert, J. L. Bona, Comparisons between model equations for long waves Journal of Nonlinear Science. ,vol. 1, pp. 345- 374 ,(1991) , 10.1007/BF01238818
Carlos E. Kenig, On the local and global well-posedness theory for the KP-I equation Annales De L Institut Henri Poincare-analyse Non Lineaire. ,vol. 21, pp. 827- 838 ,(2004) , 10.1016/J.ANIHPC.2003.12.002
Model Equations for Long Waves in Nonlinear Dispersive Systems Philosophical Transactions of the Royal Society A. ,vol. 272, pp. 47- 78 ,(1972) , 10.1098/RSTA.1972.0032
L. Abdelouhab, J.L. Bona, M. Felland, J.-C. Saut, Nonlocal models for nonlinear, dispersive waves Physica D: Nonlinear Phenomena. ,vol. 40, pp. 360- 392 ,(1990) , 10.1016/0167-2789(89)90050-X