Some Kinds of New Composite Solutions of a Kind of Coupled Schrödinger Equation

Show more

References

[1] Huang, D.J. and Zhang, H.Q. (2004) Extended Hyperbolic Function Method and New Exact Solitary Wave Solutions of Zakharov Equations. Acta Physica Sinica, 53, 2434-2438.

http://dx.doi.org/10.7498/aps.53.2434

[2] Zhao, C.H. and Sheng, Z.M. (2004) Explicit Travelling Wave Solutions for Zakharov Equations. Acta Physica Sinica, 53, 1629-1634.

http://dx.doi.org/10.7498/aps.53.1629

[3] Zhang, S.Q. and Li, Z.B. (2002) New Explicit Exact Solutions to Nonlinearly Coupled Schrödinger-K dV Equations. Acta Physica Sinica, 51, 2197-2201.

http://dx.doi.org/10.7498/aps.51.2197

[4] Gao, B., Liu, S.K. and Liu, S.D. (2009) Envelope Periodic and Solitary Solutions of Davey-Stewartson Equation. Acta Physica Sinica, 58, 2155-2158.

http://dx.doi.org/10.7498/aps.58.2155

[5] Li, H.M. (2007) Exact Periodic Wave and Soliton Solutions in Two-Component Bose-Einstein Condensates. Chinese Physics B, 16, 3187-3191.

http://dx.doi.org/10.1088/1009-1963/16/11/007

[6] Li, H.M. (2005) New Exact Solutions of Nonlinear Gross-Pitaevskii Equation with Weak Bias Magnetic and Time-Dependent Laser Fields. Chinese Physics B, 14, 251-256.

http://dx.doi.org/10.1088/1009-1963/14/2/006

[7] Li, H.M. and Wu, F.M. (2005) Exact Discrete Soliton Solutions of Quintic Discrete Nonlinear Schrödinger Equation. Chinese Physics B, 14, 1069-1074.

http://dx.doi.org/10.1088/1009-1963/14/6/002

[8] Ma, Z.Y., Ma, S.H. and Yang, Y. (2012) Rational Solutions and Spatial Solitons for the (2+1)-Dimensional Nonlinear Schrödinger Equation with Distributed Coefficients. Acta Physica Sinica, 61, 190508.

http://dx.doi.org/10.7498/aps.61.190508

[9] Hu, J.L. (2007) Exact Solutions for Four Coupled Complex Nonlinear Differential Equations. Chinese Physics B, 16, 3192-3196.

http://dx.doi.org/10.1088/1009-1963/16/11/008

[10] Liu, J.Y. (2015) Classifying Exact Traveling Wave Solutions to the Coupled-Higgs Equation. Journal of Applied Mathematics and Physics, 3, 279-284.

http://dx.doi.org/10.4236/jamp.2015.33041

[11] Ding, H.Y., Xu, X.X. and Yang, H.X. (2005) An Extended Functional Transformation Method and Its Application in Some Evolution Equations. Chinese Physics B, 14, 1687-1690.

http://dx.doi.org/10.1088/1009-1963/14/9/001

[12] Zhu, W.T., Ma, S.H., Fang, J.P., Ma, Z.Y. and Zhu, H.P. (2014) Fusion, Fission, and Annihilation of Complex Waves for the (2+1)-Dimensional Generalized Calogero-Bogoyavlenskii-Schiff System. Chinese Physics B, 23, Article ID: 060505.

http://dx.doi.org/10.1088/1674-1056/23/6/060505

[13] Khaled, A. and Gepreel, S.O. (2012) Exact Solutions for Nonlinear Partial Fractional Differential Equations. Chinese Physics B, 21, Article ID: 110204.

http://dx.doi.org/10.1088/1674-1056/21/11/110204

[14] Alam, M.N., Akbar, M.A. and Mohyud-Din, S.T. (2014) A Novel (G’/G)-Expansion Method and Its Application to the Boussinesq Equation. Chinese Physics B, 23, Article ID: 020203.

http://dx.doi.org/10.1088/1674-1056/23/2/020203

[15] Gao, H. and Di, G.H. (2014) Exact Solutions to the Generalized Benjamin Equation. Journal of Applied Mathematics and Physics, 2, 671-676. http://dx.doi.org/10.4236/jamp.2014.27074

[16] Khalfallah, M. (2008) Exact Traveling Wave Solutions of the Boussinesq-Burgers Equation. Mathematical and Computer Modelling, 49, 666-671.

http://dx.doi.org/10.1016/j.mcm.2008.08.004

[17] Ma, S.H. and Fang, J.P. (2012) Peaked Soliton Solutions and Interaction between Solitons for the Extended (2+1)-Dimensional Shallow Water Wave Equation. Acta Physica Sinica, 61, Article ID: 180505.

[18] Liu, C.S. (2010) Applications of Complete Discrimination System for Polynomial for Classifications of Traveling Wave Solutions to Nonlinear Differential Equations. Computer Physics Communications, 181, 317-324.

http://dx.doi.org/10.1016/j.cpc.2009.10.006

[19] Jabbari, A., Kheiri, H. and Bekir, A. (2011) Exact Solutions of the Coupled Higgs Equation and the Maccari System Using He’s Semi-Inverse Method and (G’/G)-Expansion Method. Computers and Mathematics with Applications, 62, 2177-2186.

http://dx.doi.org/10.1016/j.camwa.2011.07.003

[20] Wang, C.Y. and Du, X.H. (2013) Classifying Traveling Wave Solutions to the Zhiber-Shabat Equation. Journal of Applied Mathematics and Physics, 1, 1-3.

http://dx.doi.org/10.4236/jamp.2013.12001

[21] Taogetusang and Yi, L.N. (2014) New Complexion Two-Soliton Solutions to a Kind of Nonlinear Coupled System. Acta Physica Sinica, 63, Article ID: 160201.

[22] Wang, J.M. (2012) Riemann θ Function Solutions to Modified Korteweg de Vries-Sine-Gordon Equation. Acta Physica Sinica, 61, Article ID: 080201.

[23] Taogetusang and Yi, L.N. (2014) New Infinite Sequence Solutions to Equations of Sine-Gordon Type. Acta Physica Sinica, 63, Article ID: 215202.

[24] Taogetusang, Sirendaoerji and Li, S.M. (2010) New Application to Riccati Equation. Chinese Physics B, 19, Article ID: 080303.

http://dx.doi.org/10.1088/1674-1056/19/8/080303