New Analytical Wave Structures for the (2+1)-Dimensional Chaffee-Infante Equation

Fatma Nur Kaya Sağlam

doi:10.32323/ujma.1633133

EN

New Analytical Wave Structures for the (2+1)-Dimensional Chaffee-Infante Equation

Abstract

The focus of this paper is the (2+1)-dimensional Chaffee-Infante equation (CIE). The model describes the diffusion of a gas in a homogeneous medium, which makes it an important tool in the research of mathematics and physics. The modified extended Tanh expansion method is employed. Many soliton solutions have been obtained by rigorous analysis and calculation. This method can generate various types of solutions including trigonometric, trigonometric-hyperbolic, rational, kink, singular, and periodic singular solitons. We also present some of the obtained solutions' 3D, contour, and 2D plots. In order to tackle complex nonlinear issues, the solutions are dependable, efficient, and manageable, and the generated results provide a basis for further research. The study's method used in this paper is characterised by its ability to generate simple, reliable and original solutions to nonlinear partial differential equations (NLPDEs) in mathematical physics. To the best of our knowledge, no such work has been done before for this problem. The Maple software has been used to check the correctness of each solution found.

Keywords

(2+1)-dimensional Chaffee-Infante equation, Modified extended Tanh expansion method, Solitons

References

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Details

Primary Language

English

Subjects

Partial Differential Equations

Journal Section

Research Article

Authors

Fatma Nur Kaya Sağlam ^*
0000-0001-7488-3254
Türkiye

Early Pub Date

March 24, 2025

Publication Date

March 25, 2025

Submission Date

February 4, 2025

Acceptance Date

March 22, 2025

Published in Issue

Year 2025 Volume: 8 Number: 1

DOI

https://doi.org/10.32323/ujma.1633133

IZ

https://izlik.org/JA44UN93UW

APA

Kaya Sağlam, F. N. (2025). New Analytical Wave Structures for the (2+1)-Dimensional Chaffee-Infante Equation. Universal Journal of Mathematics and Applications, 8(1), 41-55. https://doi.org/10.32323/ujma.1633133

AMA

1.Kaya Sağlam FN. New Analytical Wave Structures for the (2+1)-Dimensional Chaffee-Infante Equation. Univ. J. Math. Appl. 2025;8(1):41-55. doi:10.32323/ujma.1633133

Chicago

Kaya Sağlam, Fatma Nur. 2025. “New Analytical Wave Structures for the (2+1)-Dimensional Chaffee-Infante Equation”. Universal Journal of Mathematics and Applications 8 (1): 41-55. https://doi.org/10.32323/ujma.1633133.

EndNote

Kaya Sağlam FN (March 1, 2025) New Analytical Wave Structures for the (2+1)-Dimensional Chaffee-Infante Equation. Universal Journal of Mathematics and Applications 8 1 41–55.

IEEE

[1]F. N. Kaya Sağlam, “New Analytical Wave Structures for the (2+1)-Dimensional Chaffee-Infante Equation”, Univ. J. Math. Appl., vol. 8, no. 1, pp. 41–55, Mar. 2025, doi: 10.32323/ujma.1633133.

ISNAD

Kaya Sağlam, Fatma Nur. “New Analytical Wave Structures for the (2+1)-Dimensional Chaffee-Infante Equation”. Universal Journal of Mathematics and Applications 8/1 (March 1, 2025): 41-55. https://doi.org/10.32323/ujma.1633133.

JAMA

1.Kaya Sağlam FN. New Analytical Wave Structures for the (2+1)-Dimensional Chaffee-Infante Equation. Univ. J. Math. Appl. 2025;8:41–55.

MLA

Kaya Sağlam, Fatma Nur. “New Analytical Wave Structures for the (2+1)-Dimensional Chaffee-Infante Equation”. Universal Journal of Mathematics and Applications, vol. 8, no. 1, Mar. 2025, pp. 41-55, doi:10.32323/ujma.1633133.

Vancouver

1.Fatma Nur Kaya Sağlam. New Analytical Wave Structures for the (2+1)-Dimensional Chaffee-Infante Equation. Univ. J. Math. Appl. 2025 Mar. 1;8(1):41-55. doi:10.32323/ujma.1633133

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Universal Journal of Mathematics and Applications

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New Analytical Wave Structures for the (2+1)-Dimensional Chaffee-Infante Equation

Abstract

New Analytical Wave Structures for the (2+1)-Dimensional Chaffee-Infante Equation

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Early Pub Date

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

Cited By

Exploring the Novel Wave Structures of the Kairat-X Equation via Two Analytical Methods

Exploring Soliton Solutions of the Nonlinear Time-Fractional Schrödinger Model via M-Truncated and Atangana-Baleanu Fractional Operators

Soliton Solutions for the (n+1)-Dimensional Generalized Kadomtsev-Petviashvili Equation Using Two Mathematical Approaches

Complex travelling wave solutions of fractional nonlinear coupled malaria model: bifurcation, chaos, and multistability

Analytical approaches to the Kaup–Newell model in mathematical physics

Exploring the Novel Soliton Solutions of the Kairat-X Equation via Two Analytical Methods

Dynamical Analysis and Exact Solitary Wave Solutions to the (2+1)-Dimensional Time-Fractional Chafee-Infante Equation: The Jacobi Elliptic Expansion Approach

Mathematical Analysis of Stochastic Solitons in the Kaup–Newell Equation for Birefringent Fibers