In this paper, a perturbing nonlinear non-homogeneous Schrodinger equation is studied under limited time interval, complex initial conditions and zero Neumann conditions. The perturbation and Picard approximation methods together with the eigenfunction expansion and variational parameters methods are used to introduce an approximate solution for the perturbative nonlinear case for which a power series solution is proved to exist. Using Mathematica, the solution algorithm is tested through computing the possible orders of approximations. The method of solution is illustrated through case studies and figures.
El-Tawil, M., Nasr, S., & El Zoheiry, H. (2011). On Solution of Nonlinear Cubic Non-Homogeneous Schrodinger Equation. International Conference on Aerospace Sciences and Aviation Technology, 14(AEROSPACE SCIENCES & AVIATION TECHNOLOGY, ASAT - 14 – May 24 - 26, 2011), 1-16. doi: 10.21608/asat.2011.23245
MLA
Magdy A. El-Tawil; Sherif E. Nasr; H. El Zoheiry. "On Solution of Nonlinear Cubic Non-Homogeneous Schrodinger Equation". International Conference on Aerospace Sciences and Aviation Technology, 14, AEROSPACE SCIENCES & AVIATION TECHNOLOGY, ASAT - 14 – May 24 - 26, 2011, 2011, 1-16. doi: 10.21608/asat.2011.23245
HARVARD
El-Tawil, M., Nasr, S., El Zoheiry, H. (2011). 'On Solution of Nonlinear Cubic Non-Homogeneous Schrodinger Equation', International Conference on Aerospace Sciences and Aviation Technology, 14(AEROSPACE SCIENCES & AVIATION TECHNOLOGY, ASAT - 14 – May 24 - 26, 2011), pp. 1-16. doi: 10.21608/asat.2011.23245
VANCOUVER
El-Tawil, M., Nasr, S., El Zoheiry, H. On Solution of Nonlinear Cubic Non-Homogeneous Schrodinger Equation. International Conference on Aerospace Sciences and Aviation Technology, 2011; 14(AEROSPACE SCIENCES & AVIATION TECHNOLOGY, ASAT - 14 – May 24 - 26, 2011): 1-16. doi: 10.21608/asat.2011.23245
)
View on SCiNiTO