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20242026
most citedComments on the paper "Derivation of lump solutions to a variety of Boussinesq equations with distinct dimensions."

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math.AP2026

Multidimensional parabolic equations with a logarithmic nonlinearity admitting exceptional Lie symmetries

Roman Cherniha, John R. King

Nonlinear reaction-diffusion equations arise in a very wide range of applications. Here we address a specific multidimensional class in which the source term is non-autonomous in t…

math.AP2026

A reaction-diffusion system with nonconstant diffusion coefficients: exact and numerical solutions

Roman Cherniha, Galyna Kriukova

A Lotka-Volterra type system with porous diffusion, which can be used as an alternative model to the classical Lotka-Volterra system, is under study. Multiparameter families of exa…