Abstract
This paper applied the trial solution technique to chiral nonlinear Schrodinger’s equation in (1\(+\)2)-dimensions. This led to solitons and other solutions to the model. Besides soliton and singular soliton solutions, this integration scheme also gave way to singular periodic solutions.
Similar content being viewed by others
References
Biswas, A., Milovic, D., Milic, D.: Solitons in alpha-helix proteins by he’s variational principle. Int. J. Biomath. 4(4), 423–429 (2011)
Biswas, A., Kara, A.H., Savescu, M., Bokhari, A.H., Zaman, F.D.: Solitons and conservation laws in neurosciences. Int. J. Biomath. 6(3), 1350017 (2013)
Kumar, S., Zerrad, E., Yildirim, A., Biswas, A.: Topological Solitons and lie symmetry analysis for the Kadomtsev–Petviashvili–Burgers equation with power law nonlinearity in dusty plasmas. Proc Rom Acad Ser A 14(3), 204–210 (2013)
Suarez, P., Biswas, A.: Exact 1-soliton solution of the Zakharov equation in plasmas with power law nonlinearity. Appl. Math. Comput. 217(17), 7372–7375 (2011)
Biswas, A., Milovic, D., Zerrad, E.: An exact solution for electromagnetic solitons in relativistic plasmas. Phys. Scr. 81(2), 025506 (2010)
Biswas, A.: Quasi-stationary solitons for langmuir waves in plasmas. Commun. Nonlinear Sci. Numer. Simul. 14(1), 69–76 (2009)
Biswas, A.: Stochastic perturbation of solitons for alfven waves in plasmas. Commun. Nonlinear Sci. Numer. Simul. 13(8), 1547–1553 (2008)
Biswas, A.: Soliton perturbation theory for alfven waves in plasmas. Phys. Plasmas. 12(2), 022306 (3 pages) (2005)
Biswas, A.: Perturbation of chiral solitons. Nuclear Phys. B 806(3), 457–461 (2009)
Biswas, A.: Chiral solitons with time-dependent coefficients. Int. J. Theor. Phys. 49(1), 79–83 (2010)
Biswas, A., Milovic, D.: Chiral solitons with Bohm potential by He’s variational principle. Phys. Atomic Nuclei 74(5), 781–783 (2011)
Biswas, A., Kara, A.H., Zerrad, E.: Dynamics and conservation lawsof generalized chiral solitons. Open Nuclear ParticlePhys. J. 4, 21–24 (2011)
Johnpillai, A.G., Yildirim, A., Anjan, B.: Chiral solitons with Bohm potential by lie group analysis and traveling wave hypothesis. Rom. J. Phys. 57(3–4), 545–554 (2012)
Ebadi, G. Yildirim, A. & Biswas, A.: Chiral solitons with bohm potential using g/g method and exp-function method. Rom. Rep. Phys. 64(2), 357–366 (2012)
Mirzazadeh, M., Arnous, A.H., Mahmood, M.F., Zerrad, E., Biswas, A.: Soliton solutions to resonant nonlinear Schrodinger’s equation withtime-dependent coefficients by trial solution approach. Nonlinear Dyn. 81(1), 277–282 (2015)
Liu, C.S.: Trial equation method to nonlinear evolution equations with rank inhomogeneous: mathematical discussions and its applications’. Commun. Theor. Phys. 45, 219–223 (2006)
Biswas, A.: Chiral solitons in 1+2 dimensions. Int. J. Theor. Phys 48, 3403–3409 (2009)
Nishino, A., Umeno, Y., Wadati, M.: Chiral nonlinear Schrodinger equation. Chaos Solitons Fractals 9, 1063–1069 (1998)
Bhrawy, A.H.: An efficient Jacobi pseudo spectral approximation for nonlinear complex generalized Zakharov system. Appl. Math. Comput. 247, 30–46 (2014)
Bhrawy, A.H., Zaky, M.A.: A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations. J. Comput. Phys. 281, 876–895 (2015)
Bhrawy, A.H., Zaky, M.A.: Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation. Nonlinear Dyn. 80(1), 101–116 (2015)
Bhrawy, A.H., Doha, E.H., Ezz-Eldien, S.S., Abdelkawy, M.A.: A numerical technique based on the shifted Legendre polynomials for solving the time-fractional coupled KdV equation. Calcolo (2015). doi:10.1007/s10092-014-0132-x
Doha, E.H., Bhrawy, A.H., Abdelkawy, M.A., Van Gorder, R.A.: Jacobi–Gauss–Lobatto collocation method for the numerical solution of 1+1 nonlinear Schrodinger equations. J. Comput. Phys. 261, 244–255 (2014)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Eslami, M. Trial solution technique to chiral nonlinear Schrodinger’s equation in (1\(+\)2)-dimensions. Nonlinear Dyn 85, 813–816 (2016). https://doi.org/10.1007/s11071-016-2724-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11071-016-2724-2