Generalized Korteweg–de Vries equation for internal waves in two-layer fluid
, 2014 The derivation of the fifth-order Korteweg—de Vries equation is presented for internal waves in two-layer fluid with surface tension on the interface between the layers.
Kurkin, A. A. +3 more
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Journal of Geophysical Research: Solid Earth, Volume 131, Issue 5, May 2026.Abstract Melt migration in partially molten rocks is commonly described by porous flow models controlled by the hydro‐mechanical compaction length, which effectively explains melt extraction at mid‐ocean ridges. However, this framework cannot account for the paradoxical accumulation of small melt fractions into rhythmic leucosome–melanosome bands in ...
Qingpei Sun +3 more
wiley +1 more source
Testing for Sufficient Follow‐Up in Survival Data With a Cure Fraction
Biometrical Journal, Volume 68, Issue 2, April 2026.ABSTRACT In order to estimate the proportion of “immune” or “cured” subjects who will never experience failure, a sufficiently long follow‐up period is required. Several statistical tests have been proposed in the literature for assessing the assumption of sufficient follow‐up, meaning that the study duration is longer than the support of the survival ...
Tsz Pang Yuen, Eni Musta
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On the Controllability of the Fifth-Order Korteweg-De Vries Equation [PDF]
, 2009 In this paper, we consider the fifth-order Korteweg-de Vries equation in a bounded interval. We prove that this equation is locally well-posed when endowed with suitable boundary conditions, and establish a result of local controllability to the ...
Guerrero, Sergio +5 more
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Global well-posedness for the transitional Korteweg-de Vries equation [PDF]
, 1998 We study the global well-posedness for the transitional Korteweg-de Vries equation in Sobolev spaces Hs(R), s ...
Nunes, W.V.L.
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Continuación única de soluciones de la ecuación de Korteweg-de Vries (KdV) [PDF]
, 2011 En el presente trabajo demostramos un principio de continuación única de soluciones para la ecuación de Korteweg-de Vries (KdV) ∂u/∂t + (∂^3)u/∂x^3 + u(∂u/∂x)=0; u=u(x,t), x ∈ R, t≥0, que afirma lo siguiente: Si u1, u2 ∈ C([0,1]; H^6(R)∩L^2((1 + x^2)^2α ...
Gutiérrez Jiménez, Nelson Jades
core
Helical solitons in vector modified Korteweg-de Vries equations
, 2018 We study existence of helical solitons in the vector modified Korteweg-de Vries (mKdV) equations, one of which is integrable, whereas another one is non-integrable.
Stepanyants, Yury A. +1 more
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Weakly nonlinear waves in magnetized plasma with a slightly non-Maxwellian electron distribution. Part 2, Stability of cnoidal waves [PDF]
, 2007 We determine the growth rate of linear instabilities resulting from long-wavelength transverse perturbations applied to periodic nonlinear wave solutions to the Schamel–Korteweg–de Vries–Zakharov–Kuznetsov (SKdVZK) equation which governs weakly nonlinear
Phibanchon, S. +2 more
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Dispersive Hydrodynamics of Soliton Condensates for the Korteweg-de Vries Equation. [PDF]
J Nonlinear Sci, 2023 Congy T, El GA, Roberti G, Tovbis A.
europepmc +1 more source
Learning the Nonlinear Solitary Wave Solution of the Korteweg-De Vries Equation with Novel Neural Network Algorithm. [PDF]
Entropy (Basel), 2023 Wen Y, Chaolu T.
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