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Research PapersNo Access

SOLITONS AND LOCALIZED EXCITATIONS FOR THE (2+1)-DIMENSIONAL DISPERSIVE LONG WAVE SYSTEM VIA SYMBOLIC COMPUTATION

School of Science, Beijing University of Posts and Telecommunications, P. O. Box 122, Beijing 100876, China

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School of Science, Beijing University of Posts and Telecommunications, P. O. Box 122, Beijing 100876, China

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School of Science, Beijing University of Posts and Telecommunications, P. O. Box 122, Beijing 100876, China

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School of Science, Beijing University of Posts and Telecommunications, P. O. Box 122, Beijing 100876, China

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School of Science, Beijing University of Posts and Telecommunications, P. O. Box 122, Beijing 100876, China

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School of Science, Beijing University of Posts and Telecommunications, P. O. Box 122, Beijing 100876, China

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School of Science, Beijing University of Posts and Telecommunications, P. O. Box 122, Beijing 100876, China

State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

Key Laboratory of Information Photonics and Optical Communication (BUPT), Ministry of Education, Beijing University of Posts and Telecommunications, P. O. Box 128, Beijing 100876, China

Corresponding author.

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https://doi.org/10.1142/S0217979210054233Cited by:1 (Source: Crossref)

Abstract

For describing some nonlinear localized excitations, the (2+1)-dimensional dispersive long wave (DLW) system is investigated with symbolic computation in this paper. Based on two different dependent variable transformations obtained through the truncated Painlevé expansion, the (2+1)-dimensional DLW system can be bilinearized or linearized. Through the Hirota bilinear method, the analytic one-, two-, three-, and N-soliton solutions are derived. On the other hand, by means of the variable separation approach, localized excitations, such as the resonant dromion, resonant solitoff, lump and compacton excitations, are obtained. Figures are plotted to illustrate the structures of those solutions.

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Vol. 24, No. 18

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Received 21 April 2008

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