Convergence of lindstedt series for the non linear wave equation

Convergence of Lindstedt Series for the Non Linear Wave Equation

on the effect of linear & non-linear texts on students comprehension and recalling

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Differential Transform Method to two-dimensional non-linear wave equation

In this paper, an analytic solution is presented using differential transform method (DTM) for a class of wave equation. The emphasis is on the nonlinear two-dimensional wave equation. The procedures introduced in this paper are in recursive forms which can be used to obtain the closed form of the solutions, if they are required. The method is tested on various examples, and the results reveal ...

Construction of periodic solutions of the nonlinear wave equation under strong irrationality conditions by the Lindstedt series method

We prove the existence of oscillatory solutions of the nonlinear wave equation, under irrationality conditions stronger than the usual Diophantine one, by perturbative techniques inspired by the Lindstedt series method originally introduced in classical mechanics to study the existence of invariant tori in quasi-integrable Hamiltonian systems.

Scaling Properties for the Radius of Convergence of Lindstedt Series: Generalized Standard Maps