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Fractional order effects on solitary waves and chaotic regimes in the mKdV Burgers equation. [PDF]
Islam MA, Rimu NN, Dey P.
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Abundant different types of soliton solutions for fractional modified KdV equation using auxiliary equation method. [PDF]
Hussain A +5 more
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Identification of stochastic optical solitons in a generalized NLSE characterized by fourth order dispersion and weak nonlocality. [PDF]
Ahmed KK +5 more
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Internal symmetries of soliton equations
Physica Scripta, 1991Summary: The geometrical structure of integrable nonlinear evolution equations is related to a conformal symmetry group acting in the space of solutions. This internal symmetry is shown to result from the interplay between Bäcklund transformations and Darboux transformations of the Lax pair.
Stahlhofen, A. A., Schramm, A. J.
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Hypergeometric Solutions of Soliton Equations
Theoretical and Mathematical Physics, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Orlov, A. Yu., Scherbin, D. M.
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Spatial solitons of Maxwell’s equations
Optics Letters, 1994Spatial solitons of Maxwell's equations propagating in an isotropic Kerr material differ significantly from the classical soliton of the nonlinear Schrödinger equation unless the electric field is linearly polarized along a geometric axis of the soliton intensity pattern.
A W, Snyder, D J, Mitchell, Y, Chen
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Discrete Painlevé equations from nonisospectral soliton equations
2000Blank
Quispel, Gilles., Levi, D.
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Attactors of dissipative soliton equation
Applied Mathematics and Mechanics, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tian, Lixin +2 more
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