Separation of variables for the 1-dimensional nonlinear diffusion equation

From MaRDI portal
Publication:1372516

DOI10.1016/S0020-7462(97)00013-9zbMath0895.35047OpenAlexW2058417928MaRDI QIDQ1372516

Peter J. Vassiliou, Philip W. Doyle

Publication date: 13 November 1997

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0020-7462(97)00013-9




Related Items (25)

On some simple methods to derive the hairclip and paperclip solutions of the curve shortening flowOn an asymptotically log-periodic solution to the graphical curve shortening flow equationExtrinsic geometric flows on codimension-one foliationsFrobenius' idea together with integral bifurcation method for investigating exact solutions to a water wave model of the generalized mKdV equationFunctionally separable solutions to nonlinear wave equations by group foliation methodA symmetry analysis of some classes of evolutionary nonlinear \((2+1)\)-diffusion equations with variable diffusivityOn one method for constructing exact solutions of nonlinear equations of mathematical physicsFunctional Separable Solutions to Nonlinear Diffusion Equations by Group Foliation MethodDirect functional separation of variables and new exact solutions to axisymmetric unsteady boundary-layer equationsFunctional separable solutions of nonlinear convection-diffusion equations with variable coefficientsConstruction of exact solutions to nonlinear PDEs with delay using solutions of simpler PDEs without delayGeneralized traveling-wave solutions of nonlinear reaction-diffusion equations with delay and variable coefficientsSymmetry classifications and reductions of some classes of \((2+1)\)-nonlinear heat equationA new periodic solution to Jacobi elliptic functions of MKdV equation and BBM equationSymmetry classification for the nonlinear heat conductivity equationFunctional separable solutions of nonlinear reaction-diffusion equations with variable coefficientsEnhanced group classification of nonlinear diffusion-reaction equations with gradient-dependent diffusivitySymmetry reductions and new functional separable solutions of nonlinear Klein–Gordon and telegraph type equationsReductions and exact solutions of Lotka-Volterra and more complex reaction-diffusion systems with delaysFunctional separable solutions of two classes of nonlinear mathematical physics equationsSeparation of variables and exact solutions to quasilinear diffusion equations with nonlinear sourceSeparation of variables in PDEs using nonlinear transformations: applications to reaction-diffusion type equationsExact solutions with generalized separation of variables in the nonlinear heat equationWave equation on spherically symmetric Lorentzian metricsNonlinear delay reaction-diffusion equations with varying transfer coefficients: exact methods and new solutions




This page was built for publication: Separation of variables for the 1-dimensional nonlinear diffusion equation