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Influence of viscosity on the structure of shock waves in the MKdV model

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Publication:1808229
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zbMath0931.35150MaRDI QIDQ1808229

Ramil' F. Bikbaev

Publication date: 5 December 1999

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)


zbMATH Keywords

Cauchy problemtime-asymptotic behaviordissipative perturbationmodified Koreteweg-de Vries equation


Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)


Related Items (4)

Riemann-Hilbert approach to TD equation with nonzero boundary condition ⋮ Shock waves in the modified Korteweg-de Vries-Burgers equation ⋮ Initial-boundary value problem for stimulated Raman scattering model: solvability of Whitham type system of equations arising in long-time asymptotic analysis ⋮ Complex Whitham deformations in problems with ``integrable instability




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