Author
T.S. Moretlo
Other affiliations: Sol Plaatje University
Bio: T.S. Moretlo is an academic researcher from North-West University. The author has contributed to research in topics: Conservation law & Kadomtsev–Petviashvili equation. The author has an hindex of 2, co-authored 3 publications receiving 6 citations. Previous affiliations of T.S. Moretlo include Sol Plaatje University.
Papers
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TL;DR: A generalized BKP equation which is an augmentation of the Bogoyavlenskii–Schiff equation and Kadomtsev–Petviashvili equation is probed and can well mimic complex waves and their dealing dynamics in fluids.
12 citations
7 citations
TL;DR: In this article, the classical symmetry approach was employed to search for exact solutions of a novel KP-like equation, which arises in the analysis of versions of resonant phenomena, and then the admitted conserved vectors of the mentioned novel equation was searched for.
Abstract: This paper aims to study a (
$$3+1$$
)-dimensional novel KP-like equation, which arises in the analysis of versions of resonant phenomena. The classical symmetry approach will be employed to search for exact solutions. Thereafter, we will search for the admitted conserved vectors of the mentioned novel KP-like equation. Although Kuo and Ma (Wave Random Complex, https://doi.org/10.1080/17455030.2020.1792580
, 2020) have given a recommendable effort to solve a new (
$$3+1$$
)-dimensional novel KP-like equation, there is no unified method. The method employed in Kuo and Ma (Wave Random Complex, https://doi.org/10.1080/17455030.2020.1792580
, 2020), cannot be used to construct conservation laws or point symmetries and hence this prompted the utilization of the classical symmetry approach for the underlying equation.
6 citations
TL;DR: In this article , symmetry analysis is applied to the generalised dispersive water wave system, which is seen in many areas of physics including fluid dynamics and particle physics, and a multiplier technique is then used to derive conservation laws.
Abstract: Symmetry analysis is applied to the generalised dispersive water waves system, which is seen in many areas of physics including fluid dynamics and particle physics. The construction of new exact solutions and similarity reductions. A multiplier technique is then used to derive conservation laws. The generalised dispersive water waves system’s solutions were also attained using the most basic techniques. An integrated generalised dispersive water wave system is constructed using the Lie group analysis technique. Solitary wave and travelling wave solutions are among the outcomes.
1 citations
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61 citations
TL;DR: In this article, the authors investigated the Ivancevic option pricing model and constructed the rogue wave and dark wave solutions by means of symbolic computation, these analytical solutions are obtained with the Maple.
Abstract: Under investigation in this paper is the Ivancevic option pricing model. Based on trial function method, rogue wave and dark wave solutions are constructed. By means of symbolic computation, these analytical solutions are obtained with the Maple. Perturbation solutions are obtained through direct perturbation method. These results will enrich the existing literature of the Ivancevic option pricing model. Dynamical characteristics for rogue waves and dark waves are exhibited by using three-dimensional plots, curve plots, density plots and contour plots.
42 citations
TL;DR: In this article , a new version of the solution in form of Grammian for the (2+1)-dimensional Bogoyavlenskii-Kadomtsev-Petviashvili equation is obtained with the aid of the polynomial function.
16 citations
TL;DR: In this paper, the extended simplest equation method was used to study the Manakov system and the graphs for some solutions were presented, along with the graphs of the graph of the solution.
Abstract: In this paper, by using the extended simplest equation method, we study the Manakov system. Beside bright, dark and singular solitons, periodic solutions, hyperbolic functions solutions and rational functions are obtained. Moreover, the graphs for some solutions are presented.
9 citations