Global H4 solution for the fifth-order Kudryashov–Sinelshchikov–Olver equation (Q5869125)

scientific article; zbMATH DE number 7593283

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English	Global H4 solution for the fifth-order Kudryashov–Sinelshchikov–Olver equation	scientific article; zbMATH DE number 7593283

Statements

instance of

scholarly article

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title

Global H4 solution for the fifth-order Kudryashov–Sinelshchikov–Olver equation (English)

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author

Giuseppe Maria Coclite

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Lorenzo di Ruvo

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published in

Journal of Hyperbolic Differential Equations

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publication date

27 September 2022

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zbMATH Keywords

fifth-order Kudryashov-Sinelshchikov-Olver equation

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Cauchy problem

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existence theory

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interactions between short and long waves

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MaRDI profile type

MaRDI publication profile

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cites work

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An efficient approximation to numerical solutions for the Kawahara equation via modified cubic B-spline differential quadrature method

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Solitary wave solution for the generalized Kawahara equation

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Well-posedness and controllability of Kawahara equation in weighted Sobolev spaces

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Local well-posedness of the fifth-order KdV-type equations on the half-line

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The initial-boundary value problem for the Kawahara equation on the half-line

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The Korteweg-de Vries-Kawahara equation in a bounded domain and some numerical results

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Different kinds of singular and nonsingular exact traveling wave solutions of the Kudryashov-Sinelshchikov equation in the special parametric conditions

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Dispersive and diffusive limits for Ostrovsky-Hunter type equations

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A singular limit problem for conservation laws related to the Kawahara equation

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A singular limit problem for conservation laws related to the Kawahara-Korteweg-de Vries equation

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A singular limit problem for conservation laws related to the Rosenau equation

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Discontinuous solutions for the short-pulse master mode-locking equation

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On the solutions for an Ostrovsky type equation

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Existence results for the Kudryashov–Sinelshchikov–Olver equation

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\(H^4\)-solutions for the Olver-Benney equation

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Well-posedness of the classical solutions for a Kawahara-Korteweg-de Vries-type equation

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A Time-Dependent Optimal Harvesting Problem with Measure-Valued Solutions

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Hamiltonian long-wave approximations to the water-wave problem

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Global existence of solutions for the Cauchy problem of the Kawahara equation with \(L^2\) initial data

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Conservation laws with vanishing nonlinear diffusion and dispersion11This work was partially carried out during a visit of the first author to the Istituto per le Applicazioni del Calcolo.

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EXACT TRAVELING WAVE SOLUTIONS AND THEIR BIFURCATIONS FOR THE KUDRYASHOV–SINELSHCHIKOV EQUATION

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Low regularity for the higher order nonlinear dispersive equation in Sobolev spaces of negative index

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Series solutions and bifurcation of traveling waves in the Benney-Kawahara-Lin equation

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Identifiers

zbMATH Open document ID

1498.35173

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DOI

10.1142/S0219891622500060

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5869125