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Approximate soliton solutions around an exact soliton solution of the toda lattice equation
Physics Letters A, 1988Abstract It is shown both analytically and numerically that the Toda lattice equation exp [-(u n -u n-1 )]- exp [-(u n+1 -u n )] - u n = 0 exhibits approximate one- or multi-soliton solutions exp [-(un-un-1)] -1 = p(d2/dt2)ln(fn) with p = arbitrary constant #62; 0 corresponding to the exact one with p = 1 for
S. Takeno, K. Kisoda, S. Homma
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Multiple-soliton solutions of Einstein’s equations
Journal of Mathematical Physics, 1989Using the Belinsky–Zakharov generating technique and a flat metric as a seed, two- and four-soliton solutions of the Einstein vacuum equations for the cases of stationary axisymmetric, cylindrically symmetric, or plane symmetric gravitational fields are considered. Three- and five-parameter classes of exact solutions are obtained, some of which are new.
Economou, A., Tsoubelis, D.
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‘‘Soliton’’ solutions in a field theory of microemulsion
Physical Review E, 1994We discuss a field theory of microemulsion that has been previously studied by a number of techniques. We examine the localized solutions of this theory, with a view to understanding the kinetics of phase growth. However, it is also suggested that, in the region of what was formerly considered to be an isotropic Lifshitz point of the phase diagram ...
, Vasil'ev, , Dawson
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Applied Mathematics and Computation, 2008
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String amplitudes as solutions to soliton equations
Physical Review D, 1987Tree and one-loop bosonic string amplitudes are shown to be given by solutions to the Kadomtsev-Petviashvili hierarchy of soliton equations whose solutions are completely known. Generalization to all Polyakov strings is discussed.
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Multiple soliton solutions and multiple singular soliton solutions for two integrable systems
Physics Letters A, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The authors extend their appreciation to the Deanship of Research and Graduate Studies at King Khalid University for funding this work through Large Research Project under grant number RGP2/275/45.
Ashraf, Romana +6 more
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Ashraf, Romana +6 more
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Soliton solutions of the shifted nonlocal NLS and MKdV equations
Physics Letters, Section A: General, Atomic and Solid State Physics, 2022Metin Gürses, Asli Pekcan
exaly
Dualism in the Theory of Soliton Solutions II
Computational Mathematics and Mathematical PhysicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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