Integrable systems with quadratic nonlinearity in Fourier space

Marikhin VG.

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Integrable systems with quadratic nonlinearity in Fourier space

机译：傅立叶空间中具有二次非线性的可积系统

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The Lax pair representation in Fourier space is used to obtain a list of integrable scalar evolutionary equations with quadratic nonlinearity. The known systems of this type such as KdV intermediate long-wave equation (ILW), Camassa-Holm and Degasperis-Procesi systems are represented in this list. Some new systems are obtained as well. Two-dimensional and discrete generalizations are discussed. (C) 2003 Elsevier Science B.V. All rights reserved. [References: 11]

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《Physics Letters, A》 |2003年第1期|共7页
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Marikhin VG.;
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中图分类物理学;
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1. Integrable systems with quadratic nonlinearity in Fourier space [J] . Marikhin VG. Physics Letters, A . 2003,第1期

机译：傅立叶空间中具有二次非线性的可积系统
2. Well-posedness for a system of quadratic derivative nonlinear Schrodinger equations in almost critical spaces [J] . Hirayama Hiroyuki, Kinoshita Shinya, Okamoto Mamoru Journal of Mathematical Analysis and Applications . 2021,第2期

机译：几乎临界空间中二次衍生非线性薛定林方程的系统良好
3. ON A SYSTEM OF QUADRATIC NONLINEAR SCHRODINGER EQUATIONS AND SCALE INVARIANT SPACES IN 2D [J] . Li Chunhua Differential and integral equations . 2015,第3a4期

机译：二维非线性Schrodinger方程和尺度不变空间的系统研究
4. Possible Non-Integrability of Observable Space for Discrete-Time Nonlinear Control Systems [C] . U. Kotta, K. Schlacher IFAC World Congress . 2008

机译：可观察空间的可能不可变性，用于离散时间非线性控制系统
5. Quadratic stability and block diagonal quadratic stability analysis for a special class of nonlinear systems. [D] . Chow, Yin-Lam. 2011

机译：一类特殊非线性系统的二次稳定性和块对角线二次稳定性分析。
6. Memetic computing through bio-inspired heuristics integration with sequential quadratic programming for nonlinear systems arising in different physical models [O] . Muhammad Asif Zahoor Raja, Adiqa Kausar Kiani, Azam Shehzad, -1

机译：通过生物启发式启发式算法结合顺序二次规划进行模因运算以解决不同物理模型中出现的非线性系统
7. Integrable systems with quadratic nonlinearity in Fourier space [O] . V. G. Marikhin 2008

机译：傅立叶空间中具有二次非线性的可积系统
8. Quadratic Bundle of General Form and the Nonlinear Evolution Equations. Expansions in the ''Squared'' Solutions-Generalized Fourier Transformations [R] . Gerdjikov, V. S., Ivanov, M. I. 1982

机译：一般形式的二次束与非线性发展方程。 “平方”解决方案 - 广义傅里叶变换的扩展

Integrable systems with quadratic nonlinearity in Fourier space

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