Effect of the Boundary on the Dynamics of Solitary Waves
WANG Jun-yi1,2 , WANG Wei2 , WANG Ben-ren1 , WEI Rong-jue1
Institute of Acoustics, Nanjing University, Nanjing 210093
Department of Physics and Institute for Solid State, Nanjing University, Nanjing 210093
Effect of the Boundary on the Dynamics of Solitary Waves
WANG Jun-yi1,2 ;WANG Wei2 ;WANG Ben-ren1 ;WEI Rong-jue1
Institute of Acoustics, Nanjing University, Nanjing 210093
Department of Physics and Institute for Solid State, Nanjing University, Nanjing 210093
关键词 ：
03.40.Kf ,
42.81.Dp ,
47.20.Ky
Abstract ： The effect of the boundary on the dynamics of solitary waves has been studied. The inverse scattering transformation for the solitary wave equation with boundary condition is treated by the reduction group theory. The effective potential of interaction between the solitary wave and the boundary is found to be same as the Morse potential. The physical mechanism of the soliton oscillation could be interpreted by our results.
Key words ：
03.40.Kf
42.81.Dp
47.20.Ky
出版日期: 1996-07-01
:
03.40.Kf
42.81.Dp
(Propagation, scattering, and losses; solitons)
47.20.Ky
(Nonlinearity, bifurcation, and symmetry breaking)
引用本文:
WANG Jun-yi;WANG Wei;WANG Ben-ren;WEI Rong-jue. Effect of the Boundary on the Dynamics of Solitary Waves[J]. 中国物理快报, 1996, 13(7): 481-484.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y1996/V13/I7/481
[1]
LIU Ling-Hong;YAN Jia-Ren;TANG Zheng-Hua. Influence of Spectral Filtering and Nonlinear Gain on an Optical Soliton
[2]
WANG Chun-Xia;XU Xing-Sheng;LI Fang;DU Wei;XIONG Gui-Guang;LIU Yu-Liang;CHEN Hong-Da. Light-Propagation Characteristics of Photonic Crystal Waveguide Based on SOI Materials at Different Polarized States
[3]
LIU Jian-Guo;XUE Li-Fang;KAI Gui-Yun;LIU Yan-Ge;ZHANG Wei-Gang;LI Yan;WANG Zhi;ZHANG Chun-Shu;DONG Xiao-Yi. Mode Exciting Properties of Photonic Crystal Fibres with the Optical Field Incident from a Single Mode Fibre
[4]
HUO Liang;YU Rong-Jin;ZHANG Bing;CHEN Ming-Yang;LI Bing-Xin. Design Guideline of Hollow-Core Fibres with Cobweb Cladding Structure
[5]
DUAN Wen-Shan; CHEN Jian-Hong; YANG Hong-Juan;SHI Yu-Ren; WANG Hong-Yan. Nonlinear Wave in a Disc-Shaped Bose--Einstein Condensate
[6]
MA Dong-Jun;SUN De-Jun;YIN Xie-Yuan. Axisymmetry Breaking to Travelling Waves in the Cylinder with Partially Heated Sidewall
[7]
DAI Zheng-De;JIANG Mu-Rong;DAI Qing-Yun;LI Shao-Lin. Homoclinic Bifurcation for Boussinesq Equation with Even Constraint
[8]
AO Sheng-Mei;YAN Jia-Ren. Effect of Higher-Order Terms on Nonlinear Schrödinger Dark Solitons in Optical Fibres
[9]
LIN Ji;CHENG Xue-Ping;YE Li-Jun. Soliton and Periodic Travelling Wave Solutions for Quadratic Nonlinear Media
[10]
DUAN Yi-Shi;ZHANG Xiu-Ming;TIAN Miao. The Branch Process of Skyrmions in the Fractional Quantum Hall Effect
[11]
CHEN Xiang-Jun;HOU Li-Jie;LAM Wa Kun. Conservation Laws for the Derivative Nonlinear Schrödinger Equation with Non-vanishing Boundary Conditions
[12]
LUO Xiao-Bing;HAI Wen-Hua. Stabilizations of Two-Dimensional Trapped and Untrapped Matter Waves via a Feshbach Resonance Technique
[13]
LI Jia-Hua;YANG Wen-Xing;ZHAN Zhi-Ming;PENG Ju-Cun. Ultraslow Bright and Dark Solitons Using only a Pulsed Laser in a Cold Three-State Medium
[14]
CUI Wei-Na;HUANG Guo-Xiang. Second-Harmonic Generation in Optical Fibres Induced by a Cross-Phase Modulation Effect
[15]
WANG Jian-Dong;YE Fang-Wei;DONG Liang-Wei;LI Yong-Ping. Vector Lattice Vortex Solitons
1996, Vol. 13 
