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A novel numerical investigation of fiber Bragg gratings with dispersive reflectivity having polynomial law of nonlinearity. [PDF]
Tariq H +6 more
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Bifurcation analysis of small amplitude unidirectional waves for nonlinear Schrödinger equations with fractional derivatives. [PDF]
Aderyani SR +3 more
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Stochastic and Statistical Analysis of Cnoidal, Snoidal, Dnoidal, Hyperbolic, Trigonometric and Exponential Wave Solutions of a Coupled Volatility Option-Pricing System. [PDF]
Abdalgadir LM +3 more
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Ultradiscrete KdV Equation [PDF]
Summary: We propose an ultradiscrete KdV equation in a coupled form and a Miura transformation relating it to the ultradiscrete Lotka-Volterra equation. Moreover we show that the ultradiscrete KdV equation under an appropriate boundary condition is equivalent to Takahashi's soliton cellular automaton.
Satoshi Tsujimoto
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Reduction of KdV and Cylindrical KdV Equations to Painlevé Equation
Journal of the Physical Society of Japan, 1982Similarity solutions of the KdV and cylindrical KdV equations are studied by means of Lie's method of infinitesimal transformation groups. It is shown that the KdV equation is reduced to the Painleve transcendental equation of the first or second kind.
Masayoshi Tajiri, Shunji Kawamoto
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KdV Equations and Integrability Detectors
Acta Applicandae Mathematicae, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Grammaticos, B. +2 more
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Exact solutions for coupled KdV equation and KdV equations
Physics Letters, Section A: General, Atomic and Solid State Physics, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Physics Letters A, 1998
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Theoretical and Mathematical Physics, 2001
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