Soliton equations extracted from the noncommutative zero-curvature equation

Koikawa T.

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Soliton equations extracted from the noncommutative zero-curvature equation

机译：从非交换零曲率方程中提取的孤子方程

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We investigate the equation in which the commutation relation in the 2-dimensional zero-curvature equation composed of algebra-valued potentials is replaced by the Moyal bracket and the algebra-valued potentials are replaced by non-algebra-valued potentials with two additional variables. We call the resulting 4-dimensional equation the 'noncommutative zero-curvature equation'. We show that various soliton equations can be derived through the dimensional reduction of the equation. [References: 11]

机译：我们研究了方程，其中由代数值电势组成的二维零曲率方程中的换向关系被Moyal括号替换，代数值电势被具有两个附加变量的非代数值电势替换。我们将所得的4维方程称为“非交换零曲率方程”。我们表明，可以通过方程的降维来导出各种孤子方程。 [参考：11]

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《Progress of Theoretical Physics》 |2001年第6期|共13页
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Koikawa T.;
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中图分类理论物理学;
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1. Soliton equations extracted from the noncommutative zero-curvature equation [J] . Koikawa T. Progress of Theoretical Physics . 2001,第6期

机译：从非交换零曲率方程中提取的孤子方程
2. Soliton solutions of noncommutative anti-self-dual Yang-Mills equations [J] . Gilson Claire R., Hamanaka Masashi, Huang Shan-Chi, Journal of physics, A. Mathematical and theoretical . 2020,第40期

机译：非矫正抗自二种阳铣刀方程的孤子解决方案
3. A novel noncommutative KdV-type equation, its recursion operator, and solitons [J] . Carillo Sandra, Lo Schiavo Mauro, Porten Egmont, Journal of Mathematical Physics . 2018,第4期

机译：一种新型非容态KDV型方程，其递归算子和孤子
4. Generalized Kaup—Kupershmidt Solitons, Static Solitons andBoundary Generated Solitons — Solutions of the KdV andHigher Order KdV Equations [C] . G.I. Burde International Conference on Numerical Analysis and Applied Mathematics . 2010

机译：广义Kaup-kupershmidt孤子，静态孤子和孤立的孤子 - KDV和高阶KDV方程的解决方案
5. Asymptotic dynamics of trapped solitons of nonlinear Schrodinger equations with potentials. [D] . Zhou, Gang. 2007

机译：带电势的非线性薛定inger方程的孤立孤子的渐近动力学。
6. Scattering of solitons for coupled wave-particle equations [O] . Valery Imaykin, Alexander Komech, Boris Vainberg -1

机译：耦合波粒方程的孤子散射
7. Soliton Equations Extracted from the Noncommutative Zero-Curvature Equation [O] . Koikawa, T 2001

机译：从非交换零曲率方程中提取的孤子方程
8. Zero-curvature representation for harmonic-superspace equations of motion in N=1, D=6 supersymmetric gauge theory [R] . Zupnik, B. M. 1995

机译：N = 1，D = 6超对称规范理论中谐波 - 超空间运动方程的零曲率表示

Soliton equations extracted from the noncommutative zero-curvature equation

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