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Theoretical aspects of applied mathematical research on nonlinear waves and coherent structures are relevant to subjects as diverse as general relativity, high-energy particle and plasma physics, flui...
Incompressible and compressible fluids pose many important mathematical physics problems, which are crucial to understand the practical problems from gas dynamics, weather forecast, ocean waves and th...
Incompressible and compressible fluids pose many important mathematical physics problems, which are crucial to understand the practical problems from gas dynamics, weather forecast, ocean waves and th...
Abstract: A general nonlinear dispersion relation is derived in a nondifferential form for a quasistationary sinusoidal Langmuir wave in collisionless plasma, allowing for an arbitrary distribution of...
Abstract: A Lagrangian formalism is developed for a general nondissipative quasiperiodic nonlinear wave with trapped particles in collisionless plasma. The adiabatic time-averaged Lagrangian density L...
Abstract: A Lagrangian formalism is developed for a general nondissipative quasiperiodic nonlinear wave with trapped particles in collisionless plasma. The adiabatic time-averaged Lagrangian density L...
Abstract: A general nonlinear dispersion relation is derived in a nondifferential form for a quasistationary sinusoidal Langmuir wave in collisionless plasma, allowing for an arbitrary distribution of...
Abstract: The evolution of waves with trapped particles is described within the Lagrangian model developed in Paper I. One-dimensional nonlinear Langmuir waves with deeply trapped electrons are addres...
In this paper we investigate the solution of a nonlinear reactiondiffusion equation connected with nonlinear waves by the application of Sumudu transform. The results presented here are in compact and...
We establish local well-posedness results in weak periodic function spaces for the Cauchy problem of the Benney system. The Sobolev space H1/2 ×L2 is the lowest regularity attained and also we cover t...
In this paper, we systematically find computational solutions to a class of differential equation systems which exhibit nonlinear wave behavior. After discretizing the nonlinear partial differential e...
We investigate the nature of nonlinear waves propagating transverse to the magnetic field in a bi-ion plasma including plasma pressure. By using the conservation laws derived from the multi-ion fluid ...
High-speed ferries are known to generate wakes with unusually long periods, and occasionally large amplitudes which may serve as a qualitatively new forcing factor in coastal regions that are not expo...
The probability density function and the first three statistical moments of velocity, acceleration and pressure of a gravity wave field, for points in the vicinity of still water level, are obtained t...
We examine the nonlinear evolution of barotropic β-plane jets on a periodic domain with a pseudospectral. A calculation of the linear growth rate yields an infected U-shaped curve on the β versus k0 p...

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