The integrable nonlinear degenerate diffusion equation \(u_ t=[f(u)u_ x^{-1}]_ x\) and its relatives
type: Item
instance of: scholarly article
title: The integrable nonlinear degenerate diffusion equation \(u_ t=[f(u)u_ x^{-1}]_ x\) and its relatives
zbMATH Open document ID: 0880.35095
DOI: 10.1007/BF00920043
author: Joanna Goard
author: Philip Broadbridge
author: D. J. Arrigo
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1997-09-10T00:00:00Z
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 58J70
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 35C05
zbMATH DE Number: 1059757
zbMATH Keywords: nonlinear diffusion equation
zbMATH Keywords: turbulent transport
zbMATH Keywords: stress dissipation in rock blasting
zbMATH Keywords: symmetry analysis
zbMATH Keywords: similarity reductions
zbMATH Keywords: explicit solutions
MaRDI profile type: Publication
cites work: A Degenerate Pseudoparabolic Regularization of a Nonlinear Forward-Backward Heat Equation Arising in the Theory of Heat and Mass Exchange in Stably Stratified Turbulent Shear Flow
cites work: Hyperbolic phenomena in a strongly degenerate parabolic equation
cites work: Symmetries and differential equations
cites work: On a nonlinear reaction-diffusion boundary-value problem: application of a Lie-Bäcklund symmetry
cites work: Hodograph Transformations of Linearizable Partial Differential Equations
cites work: A symmetry approach to exactly solvable evolution equations
cites work: On the exactly solvable equation$S_t = [ ( \beta S + \gamma )^{ - 2} S_x ]_x + \alpha ( \beta S + \gamma )^{ - 2} S_x $ Occurring in Two-Phase Flow in Porous Media
cites work: A MATHEMATICAL MODEL FOR ROCK BLASTING INVOLVING A DEGENERATE NONLINEAR DIFFUSION EQUATION
cites work: On the diffusion of biological populations
cites work: Inverse transformations and the reduction of nonlinear Dirichlet problems
cites work: Q3884417
description: scientific article; zbMATH DE number 1059757