On a Nonlinear Bessel Equation
Copyright policy )On a Nonlinear Bessel Equation
Numerical, power-series and asymptotic solutions are presented for the differential equation $F'' + r^{ - 1} F' - F + F^3 = 0( 0 < r < \infty )$ which arises in connection with self-focusing.
Numerical analysis in abstract spaces, Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc., axisymmetric, cubic Schrödinger equation, power series solution, numerical solutions, Nonlinear ordinary differential equations and systems, Asymptotic expansions of solutions to ordinary differential equations
Numerical analysis in abstract spaces, Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc., axisymmetric, cubic Schrödinger equation, power series solution, numerical solutions, Nonlinear ordinary differential equations and systems, Asymptotic expansions of solutions to ordinary differential equations
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