Breather solutions and breather lattice solutions to the sine-Gordon equation

Fu ZT; Liu SD; Liu SK

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Breather solutions and breather lattice solutions to the sine-Gordon equation

机译：正弦-戈登方程的呼吸解和呼吸格解

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摘要

In this paper, dependent and independent variable transformations are introduced to solve the sine-Gordon (SG) equation by using the knowledge of elliptic equation and Jacobian elliptic functions. It is shown that different kinds of solutions can be obtained for the (SG) equation, including breather solutions and breather lattice solutions.

机译：本文利用椭圆方程和雅可比椭圆函数的知识，介绍了因变量和自变量变换来求解正弦-戈登（SG）方程。结果表明，可以为（SG）方程获得不同类型的解，包括通气解和通气格解。

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《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2007年第1期|共7页
作者
Fu ZT; Liu SD; Liu SK;
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正文语种 eng
中图分类物理学;
关键词
ELLIPTIC FUNCTION EXPANSION; PERIODIC-SOLUTIONS; WAVE SOLUTIONS; POLYENES;

机译：椭圆函数展开;周期解;波解;聚合物;

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专利

1. Breather solutions and breather lattice solutions to the sine-Gordon equation [J] . Fu ZT, Liu SD, Liu SK Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2007,第1期

机译：正弦-戈登方程的呼吸解和呼吸格解
2. Two-Dimensional Breather Lattice Solutions and Compact-Like Discrete Breathers and Their Stability in Discrete Two-Dimensional Monatomic β-FPU Lattice [J] . XU Quan, TIAN Qiang 理论物理通讯（英文版） . 2009,第001期

机译：二维呼吸晶格解和紧凑型离散呼吸及其在离散二维单原子β-FPU晶格中的稳定性
3. On the variational structure of breather solutions I: Sine-Gordon equation [J] . Alejo Miguel A., Munoz Claudio, Palacios Jose M. Journal of Mathematical Analysis and Applications . 2017,第2期

机译：浅谈呼吸解的变分结构I：Sine-Gordon方程
4. Higher order Peregrine breathers solutions to the NLS equation [C] . Pierre Gaillard International Conference on Mathematical Modeling in Physical Sciences . 2016

机译：高阶Peregrine呼吸器对NLS方程的解决方案
5. An extension of KAM theory to quasi-periodic breather solutions in Hamiltonian lattice systems. [D] . Viveros Rogel, Jorge. 2007

机译：将KAM理论扩展到哈密顿晶格系统中的准周期呼吸解。
6. Multi-soliton breathers lumps and interaction solution to the (2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov equation [O] . M. Belal Hossen, Harun-Or Roshid, M. Zulfikar Ali 2019

机译：（2 + 1）维不对称Nizhnik-Novikov-Veselov方程的多孤子呼吸团块和相互作用解
7. Perturbation theory for localized solutions of sine-Gordon equation: decay of a breather and pinning by microresistor [O] . Gulevich, D. R., Kusmartsev, F. V. 2006

机译：sine-Gordon方程局部解的摄动理论：通过微电阻器的呼吸衰减和钉扎
8. Breather Solutions of the Nonlinear Wave Equation [R] . Kichenassamy, S. 1991

机译：非线性波动方程的呼吸解

Breather solutions and breather lattice solutions to the sine-Gordon equation

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