IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v144y1987i2p418-429.html
   My bibliography  Save this article

General soliton and polaron solutions in the continuum polyacetylene model through inverse scattering technique

Author

Listed:
  • Kundu, A.

Abstract

The continuum model of dimerized polyacetylene (CH)x is reduced to the Zakharov-Shabat (ZS) spectral problem and their correspondence is analysed. This helps to find through the inverse scattering technique the topological as well as the nontopological general soliton and polaron solutions to the polyacetylene model. The self-consistency condition, on the other hand, restricts the class of admitted solutions constrained by the ‘color’ degrees of freedom of the electron wave functions. As a result in a standard single-chain polyacetylene, the allowed solutions are only a kink, a polaron and a new kink-polaron state. However, in a multi-chained version of polyacetylene a rich set of general solutions is possible to exist depending on the number of chains.

Suggested Citation

  • Kundu, A., 1987. "General soliton and polaron solutions in the continuum polyacetylene model through inverse scattering technique," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 144(2), pages 418-429.
    • Handle: RePEc:eee:phsmap:v:144:y:1987:i:2:p:418-429
    DOI: 10.1016/0378-4371(87)90199-3
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437187901993
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/0378-4371(87)90199-3?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Kundu, Amitabh & Smith, Tony E, 1983. "An Impossibility Theorem on Poverty Indices," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(2), pages 423-434, June.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Claudio Zoli, 2009. "Variable population welfare and poverty orderings satisfying replication properties," Working Papers 69/2009, University of Verona, Department of Economics.
    2. Hassoun, Nicole & S. Subramanian, 2010. "On Some Problems of Variable Population Poverty Comparisons," WIDER Working Paper Series 071, World Institute for Development Economic Research (UNU-WIDER).
    3. Anders Bredahl Kock & David Preinerstorfer & Bezirgen Veliyev, 2022. "Functional Sequential Treatment Allocation," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 117(539), pages 1311-1323, September.
    4. Lucio Esposito & Francesca Majorano, 2011. "What principles should inform poverty indices? Insights from a cross-country survey," Empirical Economics, Springer, vol. 41(2), pages 387-420, October.
    5. Nicole Hassoun & Sreenivasan Subramanian, 2010. "On Some Problems of Variable Population Poverty Comparisons," WIDER Working Paper Series wp-2010-071, World Institute for Development Economic Research (UNU-WIDER).
    6. Esposito, Lucio & Lambert, Peter, 2009. "A note on the Bourguignon-Fields class of poverty indices," Journal of Public Economics, Elsevier, vol. 93(7-8), pages 852-854, August.
    7. repec:ebl:ecbull:v:9:y:2003:i:2:p:1-10 is not listed on IDEAS
    8. Nicole Hassoun, 2010. "Another Mere Addition Paradox?: Some Reflections on Variable Population Poverty Measurement," WIDER Working Paper Series wp-2010-120, World Institute for Development Economic Research (UNU-WIDER).
    9. Sreenivasan Subramanian, 2004. "Indicators of Inequality and Poverty," WIDER Working Paper Series RP2004-25, World Institute for Development Economic Research (UNU-WIDER).
    10. Sarah Brown & John G. Sessions & Duncan Watson, "undated". "The Relative Contributions of Wage and Hours Constraints to Working Poverty in Britain," Discussion Papers in Public Sector Economics 01/4, Division of Economics, School of Business, University of Leicester.
    11. Julia Paxton, 2003. "A poverty outreach index and its application to microfinance," Economics Bulletin, AccessEcon, vol. 9(2), pages 1-10.
    12. Hassoun, Nicole & Subramanian, S., 2012. "An aspect of variable population poverty comparisons," Journal of Development Economics, Elsevier, vol. 98(2), pages 238-241.
    13. Cowell, Frank A. & Victoria-Feser, Maria-Pia, 1996. "Poverty measurement with contaminated data: A robust approach," European Economic Review, Elsevier, vol. 40(9), pages 1761-1771, December.
    14. Walter Bossert & Susumu Cato & Kohei Kamaga, 2022. "Generalized Poverty-gap Orderings," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 164(1), pages 189-215, November.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:144:y:1987:i:2:p:418-429. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.