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Search results for: SOLITON SOLUTIONS
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CHAOS SOLITONS & FRACTALS
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JOURNAL OF SOLUTION CHEMISTRY
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Chaos, Solitons and Fractals: X
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Database of the convergence analysis results of the nonstandard approximation of the generalized Burgers–Huxley equation for the solution bounded within [0, γ^(1/p)].
Open Research DataPresented dataset is a result of the convergence analysis of the Mickens-type, nonlinear, finite-difference discretization of a generalized Burgers–Huxley partial differential equation. The generalized Burgers–Huxley equation is a diffusive partial differential equation with nonlinear advection and diffusion. The boundary problem for this equation possesses...
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Database of the convergence analysis results of the nonstandard approximation of the generalized Burgers–Huxley equation for the solution bounded within [0,1].
Open Research DataThe presented dataset is a result of the convergence analysis of the Mickens-type, nonlinear, finite-difference discretization of a generalized Burgers–Huxley partial differential equation.
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Existence of solutions of boundary value problems for differential equations in which deviated arguments depend on the unknown solution
PublicationPrzy pewnych warunkach, gdy m.in. funkcja f występująca po prawej stronie zagadnienia jest monotoniczna, pokazano że istnieje jedyne rozwiązanie problemu brzegowego dla równań różniczkowych z odchylonymi argumentami gdy ten argument odchylony zależy od nieznanego rozwiązania. Rozważano też zagadnienia gdy występuje więcej takich argumentów odchylonych. Otrzymane wyniki poparto przykładem.
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Approximate solution for Euler equations of stratified water via numerical solution of coupled KdV system
PublicationWe consider Euler equations with stratified background state that is valid for internal water waves. The solution of the initial-boundary problem for Boussinesq approximation in the waveguide mode is presented in terms of the stream function. The orthogonal eigenfunctions describe a vertical shape of the internal wave modes and satisfy a Sturm-Liouville problem. The horizontal profile is defined by a coupled KdV system which is...
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Silicon
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Quantum corrections to quasi-periodic solution of Sine-Gordon model and periodic solution of phi^4 model
PublicationAnalytical form of quantum corrections to quasi-periodic solution of Sine-Gordon model and periodic solution of phi^4 model is obtained through zeta function regularisation with account of all rest variables of a d-dimensional theory. Qualitative dependence of quantum corrections on parameters of the classical systems is also evaluated for a much broader class of potentials u(x) = b^2 f(bx) + C with b and C as arbitrary real constants
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Radwaste Solutions
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