# Traveling-Wave Solutions to the Nonlinear Double Degenerate Parabolic Equation of Turbulent Filtration with Absorption

## TL;DR

This paper proves the existence of finite traveling-wave solutions for a complex nonlinear degenerate parabolic equation modeling turbulent filtration with absorption.

## Contribution

It introduces new mathematical results demonstrating the existence of specific traveling-wave solutions for this class of nonlinear equations.

## Key findings

- Existence of finite traveling-wave solutions established.
- Mathematical framework for turbulent filtration equations developed.
- Contributions to the theory of nonlinear degenerate parabolic equations.

## Abstract

In this paper we prove the existence of finite traveling-wave type solutions to the nonlinear double degenerate parabolic equation of turbulent filtration with absorption.