Two standard methods for solving the Ito equation
Alvaro Salas Salas
TL;DR
This paper presents exact solutions to the Ito equation using two different methods: the tanh method and the projective Riccati equation method, demonstrating their effectiveness in solving this stochastic differential equation.
Contribution
The paper introduces and compares two analytical methods for solving the Ito equation, providing explicit solutions and illustrating their applicability.
Findings
Exact solutions obtained for the Ito equation.
Both methods successfully solve the equation.
The methods are effective and can be applied to similar stochastic equations.
Abstract
In this paper we show some exact solutions for the Ito equation. These solutions are obtained by two methods: the tanh method and the projective Riccati equation method.
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Taxonomy
TopicsNonlinear Waves and Solitons · Quantum chaos and dynamical systems · Nonlinear Photonic Systems