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The 10th International Nonlinear Wave and Chaos Workshop (NWCW17) will be held in San Diego, California, 20-24 March 2017. Previous NWC Workshops were held in Kyoto, Japan (1994), Cologne, Germany (19...
This thesis is concerned with the Cauchy problem for the quadratic derivative nonlinear wave equation in two spatial dimensions. Using standard techniques, we reduce local well-posedness in Fourier Le...
Abstract: Preliminary group classification became prominent as an approach to symmetry analysis of differential equations due to the paper by Ibragimov, Torrisi and Valenti [J. Math. Phys. 32, 2988-29...
The Adomian Decomposition Method (ADM) has been widely applied in solving partial differential equations which represent various phenomena in engineering and physics. This method is easy to program an...
We consider the asymptotic behaviour of finite energy solutions to the one-dimensional defocusing nonlinear wave equation $-u_{tt} + u_{xx} = |u|^{p-1} u$, where $p > 1$. Standard energy methods guar...
We study a semilinear equation with derivatives satisfying a null condition on slowly rotating Kerr spacetimes. We prove that given sufficiently small initial data, the solution exists globally in tim...
This paper is concerned with the analysis of the Cauchy problem of a general class of two-dimensional nonlinear nonlocal wave equations governing antiplane shear motions in nonlocal elasticity.
In this paper we introduce some new concepts for second-order hyperbolic equations: two-point boundary value problem, global exact controllability and exact controllability. For several kinds of impor...
Breaking wave energy in the surf zone is modelled through the incorporation of the time dependent energy balance equation in a non linear dispersive wave propagation model. The energy equations solved...
Well-defined ring-like backstreaming ion distributions have been recently reported from observations made by the 3DP/PESA-High analyzer onboard the WIND spacecraft in the Earth's foreshock at large di...
The evolution along the tank of unidirectional nonlinear wave groups with narrow spectrum is studied both experimentally and numerically. Measurements of the instantaneous surface elevation within the...
A one-layer reduced-gravity model in the unbounded equatorial β plane is the simplest way to study nonlinear effects in a tropical ocean. The free evolution of the system is constrained by the existen...
A nonlinear theory of wave diffraction is presented and used to evaluate the forces exerted On a cylinder of large diameter. A perturbation technique has been used to solve the problem with the inclus...
Resonant wavewave interaction processes are studied with the nonlinear dispersion relationship for shallow water. The formulation was derived based on a Hamiltonian representation first reported by Z...
The multisymplectic structure of the nonlinear wave wquation is derived directly from the variational principle. In the numerical aspect, we present a multisymplectic nine points scheme which is equiv...

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