Results 181 to 190 of about 1,281 (212)

Solitary-wave solutions of nonlinear problems

Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1990
Abstract A general method is presented for the exact treatment of analytical problems that have solutions representing solitary waves. The theoretical framework of the method is developed in abstract first, providing a range of fixed-point theorems and other useful resources.
Thomas Brooke Benjamin, J. L. Bona, D. K. Bose   +2 more
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Solitary Wave Solution to Boussinesq Equations

Journal of Waterway, Port, Coastal, and Ocean Engineering, 1997
The exact solitary wave solution to the Boussinesq equations, which was given in an implicit integral form, is further studied in the present note. Through numerical curve fitting, an explicit closed-form empirical solution whose profile is nearly identical to the exact solution is obtained.
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Solitary wave solution, breather wave solution and rogue wave solution for a KP-equation

In this paper, we investigate KP equation by the Hirota bilinear method and obtain its bilinear form successfully. On the basis of above bilinear form, a number of explicit solutions including one-solitary wave solution, two-solitary wave solution and their generalized form N-solitary wave solution are obtained successfully.
Zhenjie Niu, Zenggui Wang
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Solitary wave solutions to the Einstein equations

Journal of Mathematical Physics, 1985
The soliton solutions to the vacuum Einstein equations generated by the special class of Einstein–Rosen metrics described by linear combinations of homogeneous solutions to the usual cylindrically symmetric wave equation are studied.
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A ninth-order solution for the solitary wave

Journal of Fluid Mechanics, 1972
Several solutions for the solitary wave have been attempted since the work of Boussinesq in 1871. Of the approximate solutions, most have obtained series expansions in terms of wave amplitude, these being taken as far as the third order by Grimshaw (1971).
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Solitary Wave Solutions in a Diatomic Lattice

1978
Recently, it has been shown that the non-linear and anisotropic oxygen polarizability explains successfully the unusual dynamical properties of oxidic perovskites (1). In particular the temperature dependence of the ferroelectric (transverse optical) soft mode and its coupling to the transverse acoustical modes in incipient ferroelectrics (SrTiO3 and ...
H. Büttner, H. Bilz
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Solitary Wave Solutions for Zoomeron Equation

2013
2, 10, Walailak Journal of Science and ...
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Construction of Stationary Solitary Wave Solutions

Journal of the Physical Society of Japan, 1985
A construction of stationary solitary wave solutions to nonlinear partial differential equations is presented. First, it is shown that one of fifty Painleve-type ordinary differential equations intimately connects with one-soliton solutions which are stationary solitary wave ones of usual soliton equations.
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An exact numerical solution of the solitary wave

2008
The solitary wave, first studied in the field by J. Scott Russell, is an elevation of the water surface moving with essentially constant form at a celerity dependent upon the ratio a of its height to the depth of water upon which it propagates. The fore and aft portions of its profile are symmetrical, and gradually approach the undisturbed water ...
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Relativistic solitary-wave solutions of the beat-wave equations

The Physics of Fluids, 1988
In the beat-wave accelerator [Phys. Rev. Lett. 43, 267 (1979)], a large-amplitude Langmuir wave is produced by the beating of two laser beams whose frequencies differ by approximately the plasma frequency. The relativistic equations governing this three-wave interaction are shown to admit two types of solitary-wave solutions.
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