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Publication:3517523
zbMath1157.35471arXivmath-ph/0702038MaRDI QIDQ3517523
Publication date: 12 August 2008
Full work available at URL: https://arxiv.org/abs/math-ph/0702038
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asymptotic solutionsKorteweg-de Vries equationdifferential geometryalgebraic geometrygradient catastropheHopf equationCamasa-Holm equationLax-Levermore theory
PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Series solutions to PDEs (35C10) Theoretical approximation in context of PDEs (35A35) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
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Complex singularities in KdV solutions ⋮ Universality of the break-up profile for the KdV equation in the small dispersion limit using the Riemann-Hilbert approach ⋮ Asymptotics of step-like solutions for the Camassa-Holm equation ⋮ Artificial boundary conditions for the linearized Benjamin-Bona-Mahony equation ⋮ Numerical approach to Painlevé transcendents on unbounded domains ⋮ Numerical study of the Serre-Green-Naghdi equations and a fully dispersive counterpart ⋮ A numerical study of the small dispersion limit of the Korteweg-de Vries equation and asymptotic solutions ⋮ Numerical study of fractional Camassa-Holm equations ⋮ Numerical study of break-up in solutions to the dispersionless Kadomtsev-Petviashvili equation ⋮ On critical behaviour in systems of Hamiltonian partial differential equations ⋮ On the tritronquée solutions of \(\mathrm{P}_{\mathrm{I}}^2\)
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