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Solitary wave solutions of nonlinear equations
Physics Letters A, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang, Jinlong +3 more
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Solitary solution of Alfvèn wave propagation
Chaos, Solitons & Fractals, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
El-Hanbaly, A. M. +2 more
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Solitary-wave solutions of nonlinear problems
Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1990Abstract 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 +2 more
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Solitary Wave Solution to Boussinesq Equations
Journal of Waterway, Port, Coastal, and Ocean Engineering, 1997The 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 solutions to the Einstein equations
Journal of Mathematical Physics, 1985The 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, 1972Several 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 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 in a Diatomic Lattice
1978Recently, 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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Construction of Stationary Solitary Wave Solutions
Journal of the Physical Society of Japan, 1985A 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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Solitary Wave Solutions for Zoomeron Equation
20132, 10, Walailak Journal of Science and ...
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