Invariant solutions of Biswas-Milovic equation
The Biswas-Milovic equation in generalized form and with power law nonlinearity is analyzed for Lie symmetries. The classical Lie group method is applied to derive symmetries of this equation, and the ordinary differential equations deduced are further studied; and some exact solutions are obtained.
KeywordsBiswas-Milovic equation Lie symmetries Exact solutions
This research is funded by UGC Start-Up Grant and seed money Grant of Central University of Punjab, Bathinda. The author thankfully acknowledge this support from UGC and Central University of Punjab, Bathinda.
- 9.Kumar, S.: Painlevé analysis and invariant solutions of Vakhnenko-Parkes (VP) equation with power law nonlinearity. Nonlinear Dyn. 85(2), 1275–1279 (2016)Google Scholar
- 10.Lü, X., Zhu, H., Yao, Z., Meng, X., Zhang, C., Zhang, C., Tian, B.: Multi-soliton solutions in terms of double Wronskian determinant for a generalized variable-coefficient nonlinear Shrödinger’s equation from plasma physics, arterial mechanics, fluid dynamics and optical communications. Annal Phys. 323(8), 1947–1955 (2008)MathSciNetCrossRefMATHGoogle Scholar
- 17.Zhou, Q., Ekici, M., Sonmezoglu, A., Mirzazadeh, M., Eslami, M.: Analytical study of solitons to Biswas–Milovic model in nonlinear optics. J. Modern Opt. (2016). doi: 10.1080/09500340.2016.1184719