KaydedilenlerDerginizi ekleyin

Dergiler / Turkish Journal of Physics / 2013 / Cilt: 37 - Sayı: 2

Exact traveling wave solutions of the perturbed Klein Gordon equation with quadratic nonlinearity in (1+1)-dimension, Part I: Without local inductance and dissipation effect

Zai-yun ZHANG
Sayfa
259–267
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)

By using this method, we obtain abundant new types of exact traveling wave solutions.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, the auxiliary ordinary differential equation is employed to solve the perturbed Klein Gordon equation with quadratic nonlinearity in the (1+1)-dimension without local inductance and dissipation effect.
📊
Temel Bulgular & Veri:In this paper, the auxiliary ordinary differential equation is employed to solve the perturbed Klein Gordon equation with quadratic nonlinearity in the (1+1)-dimension without local inductance and dissipation effect.
💡
Sonuç & Katkı:By using this method, we obtain abundant new types of exact traveling wave solutions.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper, the auxiliary ordinary differential equation is employed to solve the perturbed Klein Gordon equation with quadratic nonlinearity in the (1+1)-dimension without local inductance and dissipation effect. By using this method, we obtain abundant new types of exact traveling wave solutions.

🔖

Bu Makaleye Atıf Yap

ZHANG, Z. (2013). Exact traveling wave solutions of the perturbed Klein Gordon equation with quadratic nonlinearity in (1+1)-dimension, Part I: Without local inductance and dissipation effect. Turkish Journal of Physics, Cilt: 37 - Sayı: 2, 259–267. https://ajindex.com/articles/377912

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (33)

  1. Z. Y. Zhang, Z. H. Liu, X. J. Miao and Y. Z. Chen, Appl. Math. Comput., 216, (2010), 3064
  2. Z. Y. Zhang, Turk. J. Phys., 32, (2008), 235
  3. Z. Y. Zhang, Y. X. Li, Z. H. Liu and X. J. Miao, Commun. Nonlinear Sci. Numer. Simulat., 16, (2011), 3097
  4. Z. Y. Zhang, Z. H. Liu, X. J. Miao and Y. Z. Chen, Phys. Lett. A, 375, (2011), 1275
  5. X. J. Miao and Z. Y. Zhang, Commun. Nonlinear Sci. Numer. Simulat., 16, (2011), 4259
  6. Z. Y. Zhang, X. Y. Gan and D. M. Yu, Z. Naturforsch., 66a, (2011), 721
  7. A. Yı ldı r ım and Z. Pınar, Comput. Math. Appl., 60, (2010), 1873
  8. T. ¨Ozis and A. Yı ldı r ım, Chaos, Solitons and Fractals, 38, (2008), 209
  9. S. T. Mohyud-Din and A. Yı ldı r ım, Z. Naturforsch., 65a, (2010), 1077
  10. A. Yıldı rım, Z. Naturforsch., 63a, (2008), 621
  11. A. Yı ldı r ım, S. T. Mohyud-Din and D. H. Zhang, Comput. Math. Appl., 59, (2010), 2473
  12. S. T. Mohyud-Din and A. Yı ldı r ım, Z. Naturforsch., 65a, (2010), 1045
  13. A. Yıldı rım, Z. Naturforsch., 65a, (2010), 418
  14. W. X. Ma and B. Fuchssteiner, Int. J. Nonlinear Mechanics, 31, (1996), 329
  15. W. X. Ma, T. W. Huang and Y. Zhang, Phys. Scr., 82, (2010), 065003
  16. W. X. Ma and Z. N. Zhu, Appl. Math. Computat., 218, (2012), 11871
  17. W. X. Ma and J. H. Lee, Chaos, Solitons and Fractals, 42, (2009), 1356
  18. W. X. Ma and M. Chen, Appl. Math. Comput., 215, (2009), 2835
  19. W. X. Ma and Y. You, Trans. Amer. Math. Soc., 357, (2005), 1753
  20. W. X. Ma, C. X. Li and J. S. He, Nonlinear Anal. TMA, 70, (2009), 4245
  21. W. X. Ma and E. G. Fan, Comput. Math. Appl., 61, (2011), 950
  22. W. X. Ma, Y. Zhang, Y. N. Tang and J. Y. Tu, Appl. Math. Computat., 218, (2012), 7714
  23. A. Biswas, C. Zony and E. Zerrad, Appl. Math. Comput., 203, (2008), 153
  24. R. Sassaman and A. Biswas, Physics Express, 1, (2011), 9
  25. Z. Y. Zhang and X. J. Miao, Comput. Math. Appl., 59, (2010), 1003
  26. Z. Y. Zhang, Z. H. Liu, X. J. Miao and Y. Z. Chen, J. Math. Phys., 52, (2011), 023502
  27. C. E. Xiao and Z. Y. Zhang, Far East J. Appl. Math., 60, (2011), 131
  28. M. A. Aguero, M. L. Najera, J. A. Aguilar and J. Sanchez, Int. J. Theor. Phys., 48, (2009), 2098
  29. K. C. Basak, P. C. Ray and R. K. Bera, Commun. Nonlinear Sci. Numer. Simulat., 14, (2009), 718
  30. R. Sassaman and A. Biswas, Appl. Math. Computat., 215, (2009), 212
  31. R. Sassaman and A. Biswas, Nonlinear Dyn., 61, (2010), 23
  32. R. Sassaman and A. Biswas, Studies in Math. Sci., 1,(2010), 30
  33. R. Sassam