GENERALIZED 2+1 −DIMENSIONAL BREAKING SOLITON EQUATION

Volume: 01 Number: 1 June 1, 2011
  • Abdul-majid Wazwaz
EN

GENERALIZED 2+1 −DIMENSIONAL BREAKING SOLITON EQUATION

Abstract

In this work, a general 2+1 -dimensional breaking soliton equation is investigated. The Hereman’s simplified method is applied to derive multiple soliton solutions, hence to confirm the model integrability.

Keywords

References

  1. Bogoyavlenskii, O.I., (1990), Breaking solitons in 2+1-dimensional integrable equations, Uspekhi Mat. Nauk., 45(4), 17-27.
  2. Wazwaz, A.M., (2010), Integrable (2 + 1)-dimensional and (3 + 1)-dimensional breaking soliton equations, Phys. Scr., 81, 035005.
  3. Ma, S.-H., Peng, J. and Zhang, C., (2009), New exact solutions of the (2+1)-dimensional breaking soliton system via an extended mapping method, Chaos, Solitons and Fractals, 46, 210-214.
  4. Gao, Y.-T. and Tian, B., (1995), New family of overturning soliton solutions for a typical breaking soliton equation, Comput. Math. Applic., 12, 97-100.
  5. Hirota, R., (1974), A new form of B¨acklund transformations and its relation to the inverse scattering problem, Progress of Theoretical Physics, 52(5), 1498-1512.
  6. Hirota, R., (2004), The Direct Method in Soliton Theory, Cambridge University Press, Cambridge.
  7. Hirota, R., (1971), Exact solutions of the Korteweg-de Vries equation for multiple collisions of solitons, Physical Review Letters, 27(18), 1192-1194.
  8. Hietarinta, J., (1987), A search for bilinear equations passing Hirota’s three-soliton condition. I. KdV- type bilinear equations, J. Math. Phys., 28(8), 1732-1742.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Abdul-majid Wazwaz This is me

Publication Date

June 1, 2011

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2011 Volume: 01 Number: 1

APA
Wazwaz, A.- majid. (2011). GENERALIZED 2+1 −DIMENSIONAL BREAKING SOLITON EQUATION. TWMS Journal of Applied and Engineering Mathematics, 01(1), 69-74. https://izlik.org/JA94FB39ZP
AMA
1.Wazwaz A majid. GENERALIZED 2+1 −DIMENSIONAL BREAKING SOLITON EQUATION. JAEM. 2011;01(1):69-74. https://izlik.org/JA94FB39ZP
Chicago
Wazwaz, Abdul-majid. 2011. “GENERALIZED 2+1 −DIMENSIONAL BREAKING SOLITON EQUATION”. TWMS Journal of Applied and Engineering Mathematics 01 (1): 69-74. https://izlik.org/JA94FB39ZP.
EndNote
Wazwaz A- majid (June 1, 2011) GENERALIZED 2+1 −DIMENSIONAL BREAKING SOLITON EQUATION. TWMS Journal of Applied and Engineering Mathematics 01 1 69–74.
IEEE
[1]A.- majid Wazwaz, “GENERALIZED 2+1 −DIMENSIONAL BREAKING SOLITON EQUATION”, JAEM, vol. 01, no. 1, pp. 69–74, June 2011, [Online]. Available: https://izlik.org/JA94FB39ZP
ISNAD
Wazwaz, Abdul-majid. “GENERALIZED 2+1 −DIMENSIONAL BREAKING SOLITON EQUATION”. TWMS Journal of Applied and Engineering Mathematics 01/1 (June 1, 2011): 69-74. https://izlik.org/JA94FB39ZP.
JAMA
1.Wazwaz A- majid. GENERALIZED 2+1 −DIMENSIONAL BREAKING SOLITON EQUATION. JAEM. 2011;01:69–74.
MLA
Wazwaz, Abdul-majid. “GENERALIZED 2+1 −DIMENSIONAL BREAKING SOLITON EQUATION”. TWMS Journal of Applied and Engineering Mathematics, vol. 01, no. 1, June 2011, pp. 69-74, https://izlik.org/JA94FB39ZP.
Vancouver
1.Abdul-majid Wazwaz. GENERALIZED 2+1 −DIMENSIONAL BREAKING SOLITON EQUATION. JAEM [Internet]. 2011 Jun. 1;01(1):69-74. Available from: https://izlik.org/JA94FB39ZP