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Journal
Acta Physica Polonica A
2003
|
103
|
5
| 417-421
Article title
Exact Periodic Wave Solutions of Two Types of Modified Boussinesq Equations
Authors
Y. Peng
Content
Full texts:
Title variants
Languages of publication
EN
Abstracts
EN
Exact periodic wave solutions to two types of modified Boussinesq equations are obtained by the use of the Jacobi elliptic function method in a unified form. Some new, general solitary wave solutions are presented.
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
2003
Volume
103
Issue
5
Pages
417-421
Physical description
Dates
published
2003-05
received
2002-09-30
revised
2003-02-24
Contributors
author
Y. Peng
Key Laboratory of Pure and Applied Mathematics, School of Mathematical Sciences, Peking University, Beijing 100871, P.R. China
References
1. A.V. Porubov, Phys. Lett. A, 221, 391, 1996
2. A.V. Porubov, M.G. Velarde, J. Math. Phys., 40, 884, 1999
3. A.V. Porubov, D.F. Parker, Wave Motion, 29, 97, 1999
4. S.K. Liu, Z. Fu, S.D. Liu, Q. Zhao, Phys. Lett. A, 289, 69, 2001
5. Z. Fu, S.K. Liu, S.D. Liu, Q. Zhao, Phys. Lett. A, 290, 72, 2001
6. E.J. Parkes, B.R. Duffy, P.C. Abbott, Phys. Lett. A, 295, 280, 2002
7. R.L. Sachs, Physica D, 30, 1, 1988
8. F. Bowman, Introduction to Elliptic Functions with Applications, Universities, London 1959
9. S.K. Liu, S.D. Liu, Nonlinear Equations in Physics, Peking University Press, Beijing 2000 (in Chinese)
10. V. Prasolov, Y. Solovyev, Elliptic Functions and Elliptic Integrals, American Mathematical Society, Providence 1997
11. G.B. Whitham, Linear and Nonlinear Waves, Wiley, New York 1973
Document Type
Publication order reference
Identifiers
DOI
10.12693/APhysPolA.103.417
YADDA identifier
bwmeta1.element.bwnjournal-article-appv103n502kz
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