New soliton solutions of Simplified Modified Camassa Holm equation, Klein–Gordon–Zakharov equation using First Integral Method and Exponential Function Method
In this article, new soliton solutions of Simplified Modified Camassa–Holm (SMCH) equation and Klein–Gordon–Zakharov (KGZ) equation are acquired. First Integral Method (FIM) and Exponential Function Method (EFM) are employed to construct the soliton solutions of SMCH equation and KGZ equation. The s...
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2022-07-01
|
| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379722002479 |
| _version_ | 1811251528267202560 |
|---|---|
| author | Shumaila Javeed Muhammad Awais Abbasi Tayyab Imran Rabia Fayyaz Hijaz Ahmad Thongchai Botmart |
| author_facet | Shumaila Javeed Muhammad Awais Abbasi Tayyab Imran Rabia Fayyaz Hijaz Ahmad Thongchai Botmart |
| author_sort | Shumaila Javeed |
| collection | DOAJ |
| description | In this article, new soliton solutions of Simplified Modified Camassa–Holm (SMCH) equation and Klein–Gordon–Zakharov (KGZ) equation are acquired. First Integral Method (FIM) and Exponential Function Method (EFM) are employed to construct the soliton solutions of SMCH equation and KGZ equation. The solution by these approaches can be obtained by utilizing symbolic computational softwares like Maple and Mathematica. The results suggest that the EFM and FIM are effective and useful techniques to handle non-linear problems. |
| first_indexed | 2024-04-12T16:21:41Z |
| format | Article |
| id | doaj.art-391a5669880a4c87b9fcf036998618fd |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-12T16:21:41Z |
| publishDate | 2022-07-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-391a5669880a4c87b9fcf036998618fd2022-12-22T03:25:32ZengElsevierResults in Physics2211-37972022-07-0138105506New soliton solutions of Simplified Modified Camassa Holm equation, Klein–Gordon–Zakharov equation using First Integral Method and Exponential Function MethodShumaila Javeed0Muhammad Awais Abbasi1Tayyab Imran2Rabia Fayyaz3Hijaz Ahmad4Thongchai Botmart5Department of Mathematics, COMSATS University Islamabad, Islamabad campus, Park Road, Chak Shahzad Islamabad, PakistanDepartment of Mathematics, COMSATS University Islamabad, Islamabad campus, Park Road, Chak Shahzad Islamabad, PakistanDepartment of Mathematics, COMSATS University Islamabad, Islamabad campus, Park Road, Chak Shahzad Islamabad, PakistanDepartment of Mathematics, COMSATS University Islamabad, Islamabad campus, Park Road, Chak Shahzad Islamabad, PakistanMathematics in Applied Sciences and Engineering Research Group, Scientific Research Center, Al-Ayen University, Nasiriyah 64001, Iraq; Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, ItalyDepartment of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, 40002, Thialand; Corresponding author.In this article, new soliton solutions of Simplified Modified Camassa–Holm (SMCH) equation and Klein–Gordon–Zakharov (KGZ) equation are acquired. First Integral Method (FIM) and Exponential Function Method (EFM) are employed to construct the soliton solutions of SMCH equation and KGZ equation. The solution by these approaches can be obtained by utilizing symbolic computational softwares like Maple and Mathematica. The results suggest that the EFM and FIM are effective and useful techniques to handle non-linear problems.http://www.sciencedirect.com/science/article/pii/S2211379722002479First Integral MethodExponential Function MethodSimplified Modified Camassa–Holm equationThe Klein–Gordon–Zakharov equation |
| spellingShingle | Shumaila Javeed Muhammad Awais Abbasi Tayyab Imran Rabia Fayyaz Hijaz Ahmad Thongchai Botmart New soliton solutions of Simplified Modified Camassa Holm equation, Klein–Gordon–Zakharov equation using First Integral Method and Exponential Function Method Results in Physics First Integral Method Exponential Function Method Simplified Modified Camassa–Holm equation The Klein–Gordon–Zakharov equation |
| title | New soliton solutions of Simplified Modified Camassa Holm equation, Klein–Gordon–Zakharov equation using First Integral Method and Exponential Function Method |
| title_full | New soliton solutions of Simplified Modified Camassa Holm equation, Klein–Gordon–Zakharov equation using First Integral Method and Exponential Function Method |
| title_fullStr | New soliton solutions of Simplified Modified Camassa Holm equation, Klein–Gordon–Zakharov equation using First Integral Method and Exponential Function Method |
| title_full_unstemmed | New soliton solutions of Simplified Modified Camassa Holm equation, Klein–Gordon–Zakharov equation using First Integral Method and Exponential Function Method |
| title_short | New soliton solutions of Simplified Modified Camassa Holm equation, Klein–Gordon–Zakharov equation using First Integral Method and Exponential Function Method |
| title_sort | new soliton solutions of simplified modified camassa holm equation klein gordon zakharov equation using first integral method and exponential function method |
| topic | First Integral Method Exponential Function Method Simplified Modified Camassa–Holm equation The Klein–Gordon–Zakharov equation |
| url | http://www.sciencedirect.com/science/article/pii/S2211379722002479 |
| work_keys_str_mv | AT shumailajaveed newsolitonsolutionsofsimplifiedmodifiedcamassaholmequationkleingordonzakharovequationusingfirstintegralmethodandexponentialfunctionmethod AT muhammadawaisabbasi newsolitonsolutionsofsimplifiedmodifiedcamassaholmequationkleingordonzakharovequationusingfirstintegralmethodandexponentialfunctionmethod AT tayyabimran newsolitonsolutionsofsimplifiedmodifiedcamassaholmequationkleingordonzakharovequationusingfirstintegralmethodandexponentialfunctionmethod AT rabiafayyaz newsolitonsolutionsofsimplifiedmodifiedcamassaholmequationkleingordonzakharovequationusingfirstintegralmethodandexponentialfunctionmethod AT hijazahmad newsolitonsolutionsofsimplifiedmodifiedcamassaholmequationkleingordonzakharovequationusingfirstintegralmethodandexponentialfunctionmethod AT thongchaibotmart newsolitonsolutionsofsimplifiedmodifiedcamassaholmequationkleingordonzakharovequationusingfirstintegralmethodandexponentialfunctionmethod |