On Spectral Properties of the L Operator in the Lax Pair of the sine-Gordon Equation

Thomas Kappeler; Yannick Widmer

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On Spectral Properties of the L Operator in the Lax Pair of the sine-Gordon Equation

机译：Sine-Gordon方程的Lax对中L算子的谱性质

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摘要

We analyze the periodic spectrum of the L operator in the Lax pair ofthe sine-Gordon equation in terms of the regularity of the potential.

机译：我们根据电势的规律性分析了正弦-戈登方程Lax对中的L算子的周期谱。

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《Journal of Mathematical Physics, Analysis, Geometry》 |2018年第4期|共58页
作者
Thomas Kappeler; Yannick Widmer;
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正文语种
中图分类高等数学;
关键词
sine-Gordon equationsinh-Gordon equationLax pairdecayproperties of gap lengths;

机译：正弦-Gordon方程inh-Gordon方程Lax pair间隙长度的衰减特性;

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专利

1. Two-dimensional Toda field equations related to the exceptional algebra g _2: Spectral properties of the lax operators [J] . Gerdjikov V.S. Theoretical and mathematical physics . 2012,第2期

机译：与异常代数g _2相关的二维Toda场方程：松散算子的光谱性质
2. On Tzitzeica equation and spectral properties of related Lax operators, [J] . Nicoleta Corina Babalic, Radu Constantinescu, Vladimir Stefanov Gerdjikov Balkan journal of geometry and its applications . 2014,第2期

机译：关于相关Lax算子的Tzitzeica方程和光谱性质，
3. Lax pairs, recursion operators and bi-Hamiltonian representations of (3+1)-dimensional Hirota type equations [J] . Sheftel M. B., Yazici D. Journal of geometry and physics . 2019,第期

机译：LAX对，递归操作员和BI-HAMILTONIAN表示（3 + 1）-Dimensional Hirota类型方程
4. Lax pairs and Fourier analysis: The case of sine-Gordon and Klein-Gordon equations [C] . Pavle Saksida International Conference on Quantum Theory and Symmetries . 2011

机译：LAX对和傅立叶分析：Sine-Gordon和Klein-Gordon方程的情况
5. Symbolic Computation of Lax Pairs of Nonlinear Partial Difference Equations [D] . Bridgman, Terry J. 2018

机译：非线性偏差分方程对Lax对的符号计算
6. Frames for the Solution of Operator Equations in Hilbert Spaces with Fixed Dual Pairing [O] . Peter Balazs, Helmut Harbrecht -1

机译：具有固定对对的希尔伯特空间中算子方程解的框架
7. Lax pairs, recursion operators and bi-Hamiltonian representations of (3+1)-dimensional Hirota type equations [O] . M.B. Sheftel, D. Yazıcı 2019

机译：LAX对，递归操作员和BI-HAMILTONIAN表示（3 + 1）-Dimensional Hirota类型方程
8. Painleve Property, Lax Pair, Auto-Baecklund Transformation and Recursion Operator of a Perturbed Korteweg-de Vries Equation [R] . Baby, B. V. 1987

机译：具有扰动的Korteweg-de Vries方程的painleve性质，Lax对，auto-Baecklund变换和递归算子

On Spectral Properties of the L Operator in the Lax Pair of the sine-Gordon Equation

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