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Further characteristics for certain newly formed solutions for two significant mathematical models by utilization of an efficient semi-analytic method Cover

Further characteristics for certain newly formed solutions for two significant mathematical models by utilization of an efficient semi-analytic method

International Journal of Mathematics and Computer in Engineering
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Open Access
|Jun 2026
Figures & tables

Figures & Tables

Fig. 1

Profile of (28) in three-dimensional figures.

Fig. 2

Profile of (28) in two-dimensional time-evolution graphs where values of t are presented in the legend.

Fig. 3

Figures of (32) in three-dimensions.

Fig. 4

Contour surfaces figures of (32).

Fig. 5

Two-dimensional temporal-evolution plots (32) for given t values in the legend.

Fig. 6

Profile of (40) in 3-D.

Fig. 7

Two-Dimensional graphs of (40) where −20 ≤ x ≤ 20, y = 10.

Fig. 8

Revolution plots in 3-dimensions of (40) where y = 10, −20 ≤ x ≤ 20.

Fig. 9

Figures of (52) in 3D.

Fig. 10

Two-dimensional time-development plots of equation (52) where values of t are indicated in the legend.

Fig. 11

Three-dimensional and two-dimensional (where t values are given) time-evolution figures of (56).

Fig. 12

Plots of (66) in three-dimensions.

Fig. 13

Figures of (66), where −10≤x≤10,−10≤y≤10$ -10\le x \le 10, \, -10\le y \le 10 ~$ (Contour surfaces).

Fig. 14

Time-growth figures in two-dimensions represent (66) for t values in the legend, where y=−32,−20≤x≤20$y= -\frac{3}{2}, \, -20 \le x \le 20$..
DOI: https://doi.org/10.2478/ijmce-2026-0022 | Journal eISSN: 2956-7068
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Language: English
Submitted on: Nov 21, 2025
Accepted on: May 10, 2026
Published on: Jun 2, 2026
Published by: Harran University
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
Keywords:
The (3+1)-dimensional Korteweg-de Vries-type equation,
Time-fractional Hirota-Maccari system,
Beta derivative,
soliton solutions,
improved generalized Kudryashov method
Related subjects:
Computer sciences,
Computer sciences, other,
Engineering,
Introductions and overviews,
Engineering, other,
Mathematics,
General mathematics,
Physics,
Physics, other

© 2026 Adnan Ahmad Mahmud, Kalsum Abdulrahman Muhamad, Tanfer Tanriverdi, published by Harran University
This work is licensed under the Creative Commons Attribution 4.0 License.

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