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Scattering Behavior of Waveguide Channels of a New Coupled Integrable Dispersionless System |
| Abbagari Souleymanou1,2**, Victor K. Kuetche1,2, Thomas B. Bouetou1,2,3, Timoleon C. Kofane2
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1National Advanced School of Engineering, University of Yaounde I, P.O. Box 8390, Cameroon
2Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Cameroon
3Department of Mathematics, Faculty of Science, University of Yaounde I, P.O. Box 812, Cameroon |
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| Cite this article: |
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Abbagari Souleymanou, Victor K. Kuetche, Thomas B. Bouetou et al 2011 Chin. Phys. Lett. 28 120501 |
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Abstract Based upon the powerful Hirota method for unearthing soliton solutions to nonlinear partial differential evolution equations, we investigate the scattering properties of a new coupled integrable dispersionless system while surveying the interactions between its self-confined travelling wave solutions. As a result, we ascertain three types of scattering features depending strongly upon a characteristic parameter. Using such findings to depict soliton solutions with nonzero angular momenta, we derive an extended form of the dispersionless system, which is valuable for further physical applications.
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05.45.Yv
02.30.Ik
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Received: 10 June 2011
Published: 29 November 2011
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[1] Zabusky N J and Kruskal M D 1965 Phys. Rev. Lett. 15 240
[2] Anderson R L and Ibragimov N H 1979 Lie-Bäcklund Transformations in Applications (Philadelphia: SIAM Studies in Applied Mathematics)
[3] Hermann R 1976 The Geometry of Nonlinear Differential Equations, Bäcklund Transformation, and Solitons Part A Interdisciplinary Mathematics (Brookline: Mathematics Science Press)
[4] Davis H T 1962 Introduction to Nonlinear Differential And Integral Equations (New York: Dover)
[5] Lax P D 1968 Commun. Pure Appl. Math. 21 467
[6] Olver P J 1977 J. Math. Phys. 18 1212
[7] Fuchssteiner B and Fokas A S 1981 Physica D 4 47
[8] Fokas A S and Ablowitz M 1983 The Inverse Scattering Transformation for Multidimensional (2+1)-Problems in Lecture Notes in Physics (Berlin: Springer)
[9] Gardner C S, Greene J M, Kruskal M D and Miura R M 1967 Phys. Rev. Lett. 19 1095
[10] Wahlquist H D and Estabrook F B 1975 J. Math. Phys. 16 1
[11] Hirota R 1971 Phys. Rev. Lett. 27 1192
[12] Zakharov V E and Shabat A B 1975 Funct. Anal. Appl. 8 226
[13] Wazwaz A M 2008 Appl. Math. Comput. 200 437
[14] Wazwaz A M 2008 Appl. Math. Comput. 201 168
[15] Kakuhata H and Konno K J 1999 J. Phys. Soc. Jpn. 68 757
[16] Kuetche V K, Bouetou T B and Kofane T C 2007 J. Phys. Soc. Jpn. 76 126001
[17] Zhaqilao, Zhao Y L and Li Z B 2009 Chin. Phys. B 18 1780
[18] Kakuhata H and Konno K 1996 J. Phys. Soc. Jpn. 65 340
[19] Bouetou T B, Souleymanou A, Kuetche V K, Mouna F and Kofane T C 2011 J. Math. Anal. Appl. 377 269
[20] Souleymanou A, Bouetou T B, Kuetche V K, Mouna F and Kofane T C 2011 Chin. Phys. Lett. 28 020204
[21] Kuetche V K, Bouetou T B and Kofane T C 2008 Phys. Lett. A 372 665
[22] Kuetche V K, Bouetou T B and Kofane T C 2007 J. Phys. Soc. Jpn. 76 073001
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