1-Soliton Solution of the Three Component System of Wu-Zhang Equations  ABSTRACT  |  FULL TEXT

Yıl 2012, Cilt: 41 Sayı: 4, 537 - 543, 01.04.2012

H. Triki T. Hayat O.m. Aldossary  a. Biswas

Öz

In this paper, the 1-soliton solution is obtained for the three-component
Wu-Zhang equation. The soliton components comprises both topological as well as non-topological soliton solutions. The ansatz method is
employed to carry out the integration of this coupled system of nonlinear evolution equations.

Anahtar Kelimeler

Solitons, Integrability, Ansatz method, 2000 AMS Classification: 35 Q 51, 36 C 08

1-Soliton Solution of the Three Component System of Wu-Zhang Equations  ABSTRACT  |  FULL TEXT

Öz

Kaynakça

• Biswas, A. 1-soliton solution of (1 + 2) dimensional nonlinear Schr¨odinger’s equation in dual-power law media, Phys. Lett. A 372, 5941–5943, 2008.
• Biswas, A. 1-soliton solution of the K(m, n) equation with generalized evolution, Phys. Lett. A 372, 4601–4602, 2008.
• Biswas, A. Solitary wave solution for the generalized Kawahara equation, Appl. Math. Lett. 22, 208–210, 2009.
• Biswas, A. 1-soliton solution of the B(m, n) equation with generalized evolution, Commun. Nonlinear Sci. Numer. Simul. 14, 3226–3229, 2009.
• Biswas, A. and Milovic, D. Bright and dark solitons of the generalized nonlinear Schr¨odinger’s equation, Commun. Nonlinear Sci. Numer. Simulat. 15, 1473–1484, 2010.
• Emplit, P., Hamaide, J. P., Reinaud, F., Froehly, C. and Bartelemy, A. Picosecond steps and dark pulses through nonlinear single mode fibers, Opt. Commun. 62, 374–379, 1987.
• Saha, M., Sarma, A. K. and Biswas, A. Dark optical solitons in power law media with time- dependent coefficients, Phys. Lett A 373, 4438–4441, 2009.
• Scott, M. M., Kostylev, M. P., Kalinikos, B. A. and Patton, C. E. Excitation of bright and dark envelope solitons for magnetostatic waves with attractive nonlinearity, Phys. Rev B. 71, 174440, 1–4, 2005. [9] Taghizadeh, N., Akbari, M. and Shahidi, M. Application of reduced differential transform method to the Wu-Zhang equation, Australian Journal of Basic and Applied Sciences 5 (5), 565–571, 2011.
• Triki, H. and Ismail, M. S. Soliton solutions of a BBM(m, n) equation with generalized evolution, Appl. Math. Comput. 217, 48–54, 2010.
• Triki, H. and Wazwaz, A. M. Bright and dark soliton solutions for a K(m, n) equation with t-dependent coefficients, Phys. Lett A 373, 2162–2165, 2009.
• Wazwaz, A. M. New solitary wave solutions to the modified Kawahara equation, Phys. Lett. A 360, 588–592, 2007. [13] Wazwaz, A. M. New solitons and kink solutions for the Gardner equation, Commun. Non- linear Sci. Numer. Simul. 12, 1395, 2007.
• Wazwaz, A. M. and Triki, H. Soliton solutions for a generalized KdV and BBM equations with time-dependent coefficients, Commun Nonlinear Sci Numer Simulat 16, 1122–1126, 2011.