Dergiler / Hacettepe Journal of Mathematics and Statistics / 2012 / Cilt: 41 - Sayı: 4

1-soliton solution of the three component system of Wu-Zhang equations

Sayfa
537–543
Yayın Tarihi
2022-10-18
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The ansatz method is employed to carry out the integration of this coupled system of nonlinear evolution equations.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, the 1-soliton solution is obtained for the three-component Wu-Zhang equation.
📊
Temel Bulgular & Veri:The soliton components comprises both topological as well as non-topological soliton solutions.
💡
Sonuç & Katkı:The ansatz method is employed to carry out the integration of this coupled system of nonlinear evolution equations.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

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.

🔖

Bu Makaleye Atıf Yap

HAYAT, T., TRIKI, H., ALDOSSARY, M. O., BISWAS, A. (2022). 1-soliton solution of the three component system of Wu-Zhang equations. Hacettepe Journal of Mathematics and Statistics, Cilt: 41 - Sayı: 4, 537–543. https://ajindex.com/articles/530457

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (14)

  1. 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
  2. Biswas, A. 1-soliton solution of the K(m, n) equation with generalized evolution, Phys. Lett. A 372, 4601–4602, 2008
  3. Biswas, A. Solitary wave solution for the generalized Kawahara equation, Appl. Math. Lett. 22, 208–210, 2009
  4. Biswas, A. 1-soliton solution of the B(m, n) equation with generalized evolution, Commun. Nonlinear Sci. Numer. Simul. 14, 3226–3229, 2009
  5. 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
  6. 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
  7. Saha, M., Sarma, A.K. and Biswas, A. Dark optical solitons in power law media with timedependent coefficients, Phys. Lett A 373, 4438–4441, 2009
  8. 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
  10. Triki, H. and Ismail, M. S. Soliton solutions of a BBM(m, n) equation with generalized evolution, Appl. Math. Comput. 217, 48–54, 2010
  11. 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
  12. 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
  14. 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.