Dispersive shock waves in the Kadomtsev-Petviashvili and two dimensional Benjamin-Ono equations
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- 作者：Mark J. Ablowitza ; mark.ablowitz@colorado.edu" class="auth_mail" title="E-mail the corresponding author ; Ali Demircia ; b ; demircial@itu.edu.tr" class="auth_mail" title="E-mail the corresponding author ; Yi-Ping Maa ; yiping.m@gmail.com" class="auth_mail" title="E-mail the corresponding author
- 关键词：Dispersive shock waves ; Kadomtsev&ndash ; Petviashvili equation ; Two dimensional Benjamin&ndash ; Ono equation
- 刊名：Physica D: Nonlinear Phenomena
- 出版年：2016
- 出版时间：15 October 2016
- 年：2016
- 卷：333
- 期：Complete
- 页码：84-98
- 全文大小：1797 K
文摘
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DSWs in KP and 2DBO equations are considered for parabolic front initial data.
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KP and 2DBO equations are reduced to cKdV and cBO equations.
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Whitham modulation systems for cKdV and cBO equations are derived.
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Numerics of Whitham systems are compared with numerics of cKdV/cBO equations.
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Numerics of KP/2DBO equations are compared with numerics of cKdV/cBO equations.