Derivative (finance)

Stability (learning theory)

Physics

Operator (biology)

Mathematics

Transcription factor

Partial differential equation

Gene

Financial economics

Epistemology

Machine learning

Fractional calculus

Mathematical analysis

Philosophy

Property (philosophy)

Repressor

Economics

Chemistry

Physical property

Computer science

Quantum mechanics

Differential equation

Applied mathematics

Ordinary differential equation

Biochemistry

Advances in Difference Equations

Novel explicit wave solutions are constructed for the Kudryashov–Sinelshchikov (KS) equation through liquid–gas bubbles mix under the thermodynamic conditions. A new fractional definition (Atangana–Baleanu derivative operator) is employed through the modified Khater method to get new wave solutions in distinct types of this model that is used to describe the phenomena of pressure waves through liquid–gas bubbles mix under the thermodynamic conditions. The stability property of the obtained solutions is tested to show the ability of our obtained solutions through the physical experiments. The novelty and advantage of the proposed method are illustrated by applying to this model. Some sketches are plotted to show more about the dynamical behavior of this model.

The plethora of explicit solutions of the fractional KS equation through liquid–gas bubbles mix under the thermodynamic conditions via Atangana–Baleanu derivative operator