Numerical Study of Blow up and Stability of Solutions of Generalized Kadomtsev-Petviashvili Equations

C. Klein.; J.-C. Saut.

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Numerical Study of Blow up and Stability of Solutions of Generalized Kadomtsev-Petviashvili Equations

机译：广义Kadomtsev-Petviashvili方程解的爆破和稳定性的数值研究

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Abstract We first review the known mathematical results concerning the Kadomtsev-Petviashvili type equations. Then we perform numerical simulations to analyze various qualitative properties of the equations: blow-up versus long time behavior, stability and instability of solitary waves.

机译：摘要我们首先回顾有关Kadomtsev-Petviashvili型方程的已知数学结果。然后，我们进行数值模拟以分析方程的各种定性性质：爆炸与长时间行为，孤立波的稳定性和不稳定性。

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《Journal of nonlinear science》 |2012年第5期|共49页
作者
C. Klein.; J.-C. Saut.;
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正文语种 eng
中图分类数学;
关键词
Kadomtsev-Petviashvili equations; Qualitative properties; Blow-up; Stability;

机译：Kadomtsev-Petviashvili方程;定性;爆破;稳定性;

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专利

1. Numerical Study of Blow up and Stability of Solutions of Generalized Kadomtsev-Petviashvili Equations [J] . C. Klein., J.-C. Saut. Journal of nonlinear science . 2012,第5期

机译：广义Kadomtsev-Petviashvili方程解的爆破和稳定性的数值研究
2. Blow up and instability of solitary-wave solutions to a generalized Kadomtsev-Petviashvili equation [J] . Liu Y. Transactions of the American Mathematical Society . 2000,第1期

机译：广义Kadomtsev-Petviashvili方程孤波解的爆破和不稳定性
3. Numerical Study of Blow up and Stability of Solutions of Generalized Kadomtsev–Petviashvili Equations [J] . C. Klein, J.-C. Saut Journal of Nonlinear Science . 2012,第5期

机译：广义Kadomtsev–Petviashvili方程解的爆破和稳定性的数值研究
4. Finite time Blow up of solution of Cauchy problem for the multidimensional generalized double dispersion equations with arbitrary initial energy [C] . Wang Shuo, Yanbing Yang, Xu Runzhang 2011 International Conference on Multimedia Technology . 2011

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5. Instability of solutions for generalized Boussinesq equations. [D] . Liu, Yue. 1994

机译：广义Boussinesq方程解的不稳定性。
6. A New Trigonometric Spline Approach to Numerical Solution of Generalized Nonlinear Klien-Gordon Equation [O] . Shazalina Mat Zin, Muhammad Abbas, Ahmad Abd Majid, -1

机译：广义非线性Klein-Gordon方程数值解的三角样条新方法。
7. Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations [O] . Klein, C., Saut, J. -C. 2010

机译：广义系统解的爆破与稳定性数值研究 Kadomtsev-petviashvili方程

Numerical Study of Blow up and Stability of Solutions of Generalized Kadomtsev-Petviashvili Equations

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