SPECIAL SOLUTIONS OF THE RICCATI EQUATION WITH APPLICATIONS TO THE GROSS-PITAEVSKII NONLINEAR PDE Academic Article

abstract

• A method for finding solutions of the Riccati differential equation y'= P(x) + Q(x)y + R(x)y2 is introduced. Provided that certain relations exist between the coefficient P(x), Q(x) and R(x), the above equation can be solved in closed form. We determine the required relations and find the general solutions to the aforementioned equation. The method is then applied to the Riccati equation arising in the solution of the multidimensional Gross- Pitaevskii equation of Bose-Einstein condensates by the F-expansion and the balance principle techniques. 2010 Texas State University - San Marcos.

authors

• Belic, Milivoj

published proceedings

• ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS

author list (cited authors)

• Al Bastami, A., Belic, M. R., & Petrovic, N. Z.

complete list of authors

• Al Bastami, Anas||Belic, Milivoj R||Petrovic, Nikola Z

publication date

• August 2010

published in

• Electronic Journal of Differential Equations  Journal

keywords

• Chirp Function
• Riccati Equation
• Solutions To Gross-pitaevskii Equation

start page

• 1

end page

• 10

volume

• 2010