A new dispersion-relation preserving method for integrating the classical Boussinesq equation
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- 作者：T.S. Jang ; taek@pusan.ac.kr" class="auth_mail" title="E-mail the corresponding author
- 关键词：Dispersion-relation preserving method ; The classical Boussinesq equation ; Banach fixed point theorem
- 刊名：Communications in Nonlinear Science and Numerical Simulation
- 出版年：2017
- 出版时间：February 2017
- 年：2017
- 卷：43
- 期：Complete
- 页码：118-138
- 全文大小：2440 K
文摘
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We derive a new system of nonlinear integral equations.
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It is equivalent to the classical Boussinesq equation.
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We apply the fixed point approach to the nonlinear system.
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It gives an iterative solution procedure (dispersion-relation preserving method).
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The procedure works well for integrating the Boussinesq equation.