New non-linear modified massless Klein–Gordon equation

Higher Order Asymptotics of the Modified Non-Linear Schrödinger Equation

Using the matrix Riemann-Hilbert factorisation approach for non-linear evolution systems which take the form of Lax-pair isospectral deformations, the higher order asymptotics as t→±∞ (x/t∼O(1)) of the solution to the Cauchy problem for the modified non-linear Schrödinger equation, i∂tu+ 1 2 ∂ x u+ |u|u+is∂x(|u|u) = 0, s ∈ R>0, which is a model for non-linear pulse propagation in optical fibres...

Spinning Solitons of a Modified Non-Linear Schrödinger equation

We study soliton solutions of a modified non-linear Schrödinger (MNLS) equation. Using an Ansatz for the time and azimuthal angle dependence previously considered in the studies of the spinning Q-balls, we construct multi-node solutions of MNLS as well as spinning generalisations. PACS numbers: 11.27.+d Typeset using REVTEX [email protected] [email protected] W.J.Zakrzewski@durha...

Non-linear duality invariant partially massless models?

Article history: Received 10 November 2015 Accepted 9 December 2015 Available online 15 December 2015 Editor: M. Cvetič We present manifestly duality invariant, non-linear, equations of motion for maximal depth, partially massless higher spins. These are based on a first order, Maxwell-like formulation of the known partially massless systems. Our models mimic Dirac–Born–Infeld theory but it is ...

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 ...

Iterative methods for solving non linear Fokker-Planck equation