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2003 | 103 | 5 | 417-421

Article title

Exact Periodic Wave Solutions of Two Types of Modified Boussinesq Equations

Authors

Content

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

Year

Volume

103

Issue

5

Pages

417-421

Physical description

Dates

published
2003-05
received
2002-09-30
revised
2003-02-24

Contributors

author
  • 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

YADDA identifier

bwmeta1.element.bwnjournal-article-appv103n502kz
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