Traveling Wave Solutions in Optical Metamaterials Equation

• Cheng, Yueling ^[1] ; Lu, Dianchen ^[1] ; Wu, Yuhai ^[1] ; Zhou, Jiangbo ^[1] ; Wang, Linjun ^[1]
  1. [1] Jiangsu University

     Jiangsu University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 17, Nº 1, 2018, págs. 123-141
• Idioma: inglés
• DOI: 10.1007/s12346-017-0254-z
• Enlaces
  • Texto completo
• Resumen

  • This paper is concerned with the traveling wave solutions in a optical metamaterials, which is governed by a generalized nonlinear Schrödinger equation. Applying the dynamical system theory of singular traveling wave systems, the existence of some traveling wave solutions for this equation are established. Moreover, the exact representation of solitary wave solutions, kink and anti-kink wave solutions, peakons, compactons and periodic cusp solutions are obtained accordingly.

• Referencias bibliográficas
  • 1. Xiang, Y., Dai, X., Wen, S., et al.: Controllable Raman soliton self-frequency shift in nonlinear metamaterials. Phys. Rev. A 84, 2484–2494...
  • 2. Arnous, A.H., Mirzazadeh, M., Moshokoa, S., et al.: Solitons in optical metamaterials with trial solution approach and Bäcklund transform...
  • 3. Biswas, A., Mirzazadeh, M., Savescu, M., et al.: Singular solitons in optical metamaterials by ansatz method and simplest equation approach....
  • 4. Biswas, A., Mirzazadeh, M., Eslami, M., et al.: Solitons in optical metamaterials by functional variable method and first integral approach....
  • 5. Ebadi, G., Mojaver, A., Vega-Guzman, J., et al.: Solitons in optical metamaterials by F-expansion scheme. Optoelectron. Adv. Mater. Rapid...
  • 6. Biswas, A., Khan, K.R., Mahmood, M.F., et al.: Bright and dark solitons in optical metamaterials. Optik 125, 3299–3302 (2014)
  • 7. Xu, Y., Savescu, M., Khan, K.R., et al.: Soliton propagation through nanoscale waveguides in optical metamaterials. Opt. Laser Technol....
  • 8. Zhou, Q., Zhu, Q., Yu, H., et al.: Bright, dark and singular optical solitons in a cascaded system. Laser Phys. 25, 025402 (2015)
  • 9. Krishnan, E.V., Al Gabshi, M., Zhou, Q., et al.: Solitons in optical metamaterials by mapping method. Optoelectron. Adv. Mater. Rapid Commun....
  • 10. Xu, Y., Vega-Guzman, J., Milovic, D., et al.: Bright and exotic solitons in optical metamaterials by semi-inverse variational principle....
  • 11. Biswas, A., Khan, K.R., Rahman, A., et al.: Bright and dark optical solitons in birefringent fibers with Hamiltonian perturbations and...
  • 12. Li, J.B.: Singular Nonlinear Travelling Wave Equations: Bifurcations and Exact Solutions. Science Press, Beijing (2013)