| 复Schrdinger场和实Boussinesq场耦合作用下一类方程组的有限元分析 |
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| 引用本文： | 郑家栋,向新民.复Schrdinger场和实Boussinesq场耦合作用下一类方程组的有限元分析[J].计算数学,1987,9(2):133-143. |
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| 作者姓名： | 郑家栋 向新民 |
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| 作者单位： | 上海计算技术研究所
(郑家栋)，黑龙江大学(向新民) |
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| 摘 要： | 复Schrodinger场和实Boussinesq场相互作用下的孤立子问题,已经引起广泛的研究.这类问题孤立子解的最重要特征在于孤立子之间的相互作用是非弹性的,见1].在1]中讨论了复Schrodinger场和实Boussinesq场耦合作用下一类方程组:
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THE FINITE ELEMENT ANALYSIS FOR THE EQUATION SYSTEM COUPLING THE COMPLEX SCHR(?)DINGER AND REAL BOUSSINESQ FIELDS |
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| Institution: | Zheng Jia-dong Shanghai Institute of Computer Technology Xiang Xin-min Heilongjiang University |
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| Abstract: | In this paper, we consider the finite element solution for the periodic initial value problemwhich describes the coupling effect between the complex Schrodinger and real Boussinesqfields. We discuss the convergence order of its semidiscrete Galerkin finite element and fulldiscrete schemes. We obtain the optimum error estimation and prove the solvability of nonlinearequations of full discrete scheme by Brower's fixed point theorem. |
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