Results 231 to 240 of about 7,793,680 (284)

Approximate soliton solutions around an exact soliton solution of the toda lattice equation

Physics Letters A, 1988
Abstract 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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Abundant different types of exact soliton solution to the (4+1)-dimensional Fokas and (2+1)-dimensional breaking soliton equations

, 2021
Sachin Kumar, Monika Niwas, M. Osman, M. A. Abdou   +3 more
semanticscholar   +1 more source

Multiple-soliton solutions of Einstein’s equations

Journal of Mathematical Physics, 1989
Using 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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Multiple-soliton solutions for the Boussinesq equation

Applied Mathematics and Computation, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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‘‘Soliton’’ solutions in a field theory of microemulsion

Physical Review E, 1994
We 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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Mixed lump–soliton solutions of the (3+1)-dimensional soliton equation

Applied Mathematics Letters, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
JunCai Pu, Hengchun Hu
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String amplitudes as solutions to soliton equations

Physical Review D, 1987
Tree 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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N-Soliton Solution of The Kundu-Type Equation Via Riemann-Hilbert Approach

, 2020
Lili Wen, Ningyao Zhang, E. Fan
semanticscholar   +1 more source

Multiple soliton solutions and multiple singular soliton solutions for two integrable systems

Physics Letters A, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Higher-order rogue waves and dispersive solitons of a novel P-type (3+1)-D evolution equation in soliton theory and nonlinear waves

Nonlinear dynamics, 2023
B. Mohan, S Kumar, Raj Kumar
semanticscholar   +1 more source