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Journal
Acta Physica Polonica A
2004
|
105
|
5
| 417-424
Article title
Exact Periodic Wave Solutions to the Nizhnik-Novikov-Veselov Equation
Authors
Y. Peng
Content
Full texts:
Title variants
Languages of publication
EN
Abstracts
EN
Exact periodic wave solutions to the Nizhnik-Novikov-Veselov equation are obtained by means of the modified mapping method. Limit cases are studied and new solitary wave solutions and trigonometric periodic wave solutions are found.
Keywords
EN
02.30.Jr
Discipline
02.30.Jr: Partial differential equations
Publisher
Institute of Physics, Polish Academy of Sciences
Journal
Acta Physica Polonica A
Year
2004
Volume
105
Issue
5
Pages
417-424
Physical description
Dates
published
2004-05
received
2003-11-03
accepted
2004-04-08
Contributors
author
Y. Peng
Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, P.R. China
References
1. E.J. Parkes, B.R. Duffy, P.C. Abbott, Phys. Lett. A 295, 280 (2002)
2. E.G. Fan, B.Y.C. Hon, Phys. Lett. A 292, 335 (2002)
3. S.D. Liu, Z.T. Fu, S.K. Liu, Q. Zhao, Commun. Theor. Phys. 39, 167 (2003)
4. H.T. Chen, H.Q. Zhang, Chaos, Solitons and Fractals 15, 585 (2003)
5. Z.Y. Yan, J. Phys. A 36, 1961 (2003)
6. Y.Z. Peng, Acta Phys. Pol. A 103, 417 (2003)
7. Y.Z. Peng, Phys. Lett. A 314, 401 (2003)
8. Y.Z. Peng, J. Phys. Soc. Jpn. 72, 1356 (2003)
9. Y.Z. Peng, Chin. J. Phys. 41, 103 (2003)
10. F. Bowman, Introduction to Elliptic Functions with Applications, Universities, London 1959
11. S.K. Liu, S.D. Liu, Nonlinear Equations in Physics, Peking University Press, Beijing 2000 (in Chinese)
12. V. Prasolov, Y. Solovyev, Elliptic Functions and Elliptic Integrals, American Mathematical Society, Providence 1997
13. L.P. Nizhnik, Sov. Phys. Dokl. 25, 706 (1980)
14. S.P. Novikov, A.P. Veselov, Physica D 18, 267 (1986)
15. M. Boiti, J.J.P. Leon, M. Manna, F. Pempinelli, Inverse Probl. 2, 271 (1986)
16. Y. Tagami, Phys. Lett. A 141, 116 (1989)
17. N.A. Kudryashov, D. Zargaryan, J. Phys. A 29, 8067 (1996)
18. C.J. Coleman, J. Aust. Math. Soc. Ser. B 33, 1 (1992)
19. N.F. Smyth, J. Aust. Math. Soc. Ser. B 33, 403 (1992)
20. P.A. Clarkson, E.L. Mansfield, Physica D 70, 250 (1993)
Document Type
Publication order reference
Identifiers
DOI
10.12693/APhysPolA.105.417
YADDA identifier
bwmeta1.element.bwnjournal-article-appv105n502kz
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