Chin. Phys. Lett.  1998, Vol. 15 Issue (12): 859-861    DOI:
Original Articles |
Interaction Mechanism of the Parametrically Excited Solitons
WANG Xin-long
Institute of Acoustics and State Key Laboratory of Modern Acoustics, Nanjing University, Nanjing 210093
Cite this article:   
WANG Xin-long 1998 Chin. Phys. Lett. 15 859-861
Download: PDF(267KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract The parametrically excited solitons manifest themselves with many distinct particle-like behaviors. Here the internal dynamics of the soliton-soliton interactions is explored both analytically and numerically. The results confirm the attraction between polarity-like solitons and the repulsion between opposite polarity ones. The attraction can make a pair of like polarity solitons form a standing (or oscillating) bound state. Therefore, multisolitons in an unbounded waveguide would asymptotically develop into an array of mutually independent standing soliton(s) or/and the bound state(s). It is shown that the bound state has two unidirectional momenta flowing toward the symmetric center, and thus the solitons do not perform the collisions in the classical sense. It is further demonstrated that the observed periodic “collisions” are actually due to the dissipative-induced collapses and the parametric recreations of solitons.
Keywords: 03.40.Kf      43.25.+y      47.20.Ky     
Published: 01 December 1998
PACS:  03.40.Kf  
  43.25.+y (Nonlinear acoustics)  
  47.20.Ky (Nonlinearity, bifurcation, and symmetry breaking)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y1998/V15/I12/0859
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
WANG Xin-long
Related articles from Frontiers Journals
[1] DAI Zheng-De**, WU Feng-Xia, LIU Jun and MU Gui. New Mechanical Feature of Two-Solitary Wave to the KdV Equation[J]. Chin. Phys. Lett., 2012, 29(4): 859-861
[2] CHEN Qiong, YANG Xian-Qing**, WANG Zhen-Hui, ZHAO Xin-Yin. Two Kinds of Localized Oscillating Modes in Strongly Nonlinear Hertzian Chains with Defect[J]. Chin. Phys. Lett., 2012, 29(1): 859-861
[3] CHEN Jian-Jun, ZHANG De, MAO Yi-Wei, CHENG Jian-Chun . Nondestructive Characterization of Quantitative Bonding Strength at a Bonded Solid-Solid Interface[J]. Chin. Phys. Lett., 2011, 28(8): 859-861
[4] DENG Ming-Xi**, XIANG Yan-Xun, LIU Liang-Bing . Time-Domain Second-Harmonic Generation of Primary Lamb-Wave Propagation in an Elastic Plate[J]. Chin. Phys. Lett., 2011, 28(7): 859-861
[5] QIU Yuan-Yuan, ZHENG Hai-Rong, ZHANG Dong** . Hysteretic Nonlinearity of Sub-harmonic Emission from Ultrasound Contrast Agent Microbubbles[J]. Chin. Phys. Lett., 2011, 28(4): 859-861
[6] LIU Zhen-Bo, FAN Ting-Bo, GUO Xia-Sheng, ZHANG Dong. Effect of Tissue Inhomogeneity on Nonlinear Propagation of Focused Ultrasound[J]. Chin. Phys. Lett., 2010, 27(9): 859-861
[7] FAN Li, ZHANG Shu-Yi, ZHANG Hui. Influence of the Nonlinearity of Loudspeakers on the Performance of Thermoacoustic Refrigerators Driven by Current and Voltage[J]. Chin. Phys. Lett., 2010, 27(7): 859-861
[8] TIAN Rui-Lan, CAO Qing-Jie, LI Zhi-Xin. Hopf Bifurcations for the Recently Proposed Smooth-and-Discontinuous Oscillator[J]. Chin. Phys. Lett., 2010, 27(7): 859-861
[9] HUANG Bei, ZHENG Hai-Rong, ZHANG Dong. Asymmetric Oscillation and Acoustic Response from an Encapsulated Microbubble Bound within a Small Vessel[J]. Chin. Phys. Lett., 2010, 27(6): 859-861
[10] BAO Chun-Yu, TANG Chao, YIN Xie-Zhen, LU Xi-Yun. Flutter of Finite-Span Flexible Plates in Uniform Flow[J]. Chin. Phys. Lett., 2010, 27(6): 859-861
[11] LIU Fu-Hao, ZHANG Qi-Chang, TAN Ying. Analysis of High Codimensional Bifurcation and Chaos for the Quad Bundle Conductor's Galloping[J]. Chin. Phys. Lett., 2010, 27(4): 859-861
[12] LIU Fu-Hao, ZHANG Qi-Chang, WANG Wei. Analysis of Hysteretic Strongly Nonlinearity for Quad Iced Bundle Conductors[J]. Chin. Phys. Lett., 2010, 27(3): 859-861
[13] XIANG Yan-Xun, XUAN Fu-Zhen, DENG Ming-Xi. Evaluation of Thermal Degradation Induced Material Damage Using Nonlinear Lamb Waves[J]. Chin. Phys. Lett., 2010, 27(1): 859-861
[14] Chung-Seok KIM, Cliff J. LISSENDEN. Precipitate Contribution to the Acoustic Nonlinearity in Nickel-Based Superalloy[J]. Chin. Phys. Lett., 2009, 26(8): 859-861
[15] FAN Ting-Bo, LIU Zhen-Bo, ZHANG Zhe, ZHANG Dong, GONG Xiu-Fen. Modeling of Nonlinear Propagation in Multi-layer Biological Tissues for Strong Focused Ultrasound[J]. Chin. Phys. Lett., 2009, 26(8): 859-861
Viewed
Full text


Abstract