New travelling wave analytic and residual power series solutions of conformable Caudrey–Dodd–Gibbon–Sawada–Kotera equation
In this research article, a novel analytical and numerical solutions of the Caudrey–Dodd–Gibbon–Sawada–Kotera (CDGDK) equation are established by means of Tanh method and 4thorder residual power series method (RPSM). Dynamics and shapes of the extracted solutions are shown by constructing 3D surface...
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Elsevier
2021-10-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379721006884 |
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doaj-bb25b6b414324dbaa4a45f23b09238c52021-09-27T04:25:08ZengElsevierResults in Physics2211-37972021-10-0129104591New travelling wave analytic and residual power series solutions of conformable Caudrey–Dodd–Gibbon–Sawada–Kotera equationHira Tariq0Hijaz Ahmed1Hadi Rezazadeh2Shumaila Javeed3Khurram Saleem Alimgeer4Kamsing Nonlaopon5Jamel Baili6Khaled Mohamed Khedher7Department of Mathematics, GC Women University, Sialkot, PakistanDepartment of Basic Sciences, University of Engineering and Technology, Peshawar 25000, Pakistan; Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, ItalyFaculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, IranDepartment of Mathematics, COMSATS University Islamabad, Park Road, Chak Shahzad Islamabad, PakistanElectrical and Computer Engineering Department, COMSATS University Islamabad, Islamabad Campus, Park Road, Chak Shahzad Islamabad, PakistanDepartment of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand; Corresponding author.Department of Computer Engineering, College of Computer Science, King Khalid University, Abha 61413, Saudi Arabia; Higher Institute of Applied Science and Technology of Sousse (ISSATS), Cité Taffala (Ibn Khaldoun) 4003 Sousse, University of Souse, TunisiaDepartment of Civil Engineering, College of Engineering, King Khalid University, Abha 61421, Saudi Arabia; Department of Civil Engineering, High Institute of Technological Studies, Mrezgua University Campus, Nabeul 8000, TunisiaIn this research article, a novel analytical and numerical solutions of the Caudrey–Dodd–Gibbon–Sawada–Kotera (CDGDK) equation are established by means of Tanh method and 4thorder residual power series method (RPSM). Dynamics and shapes of the extracted solutions are shown by constructing 3D surface plots. To better understand the mechanism of the CDGDK equation, 3D surface plots are developed to view the physical illustration of the extracted solutions with the selection of suitable values of the parameter. Comparisons of analytical and approximate solutions indicate that RPSM is very efficacious and reliable approach for exploring nonlinear models appearing in different areas of science and engineering.http://www.sciencedirect.com/science/article/pii/S2211379721006884Conformable CDGDK equationResidual power series methodTanh method |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Hira Tariq Hijaz Ahmed Hadi Rezazadeh Shumaila Javeed Khurram Saleem Alimgeer Kamsing Nonlaopon Jamel Baili Khaled Mohamed Khedher |
| spellingShingle |
Hira Tariq Hijaz Ahmed Hadi Rezazadeh Shumaila Javeed Khurram Saleem Alimgeer Kamsing Nonlaopon Jamel Baili Khaled Mohamed Khedher New travelling wave analytic and residual power series solutions of conformable Caudrey–Dodd–Gibbon–Sawada–Kotera equation Results in Physics Conformable CDGDK equation Residual power series method Tanh method |
| author_facet |
Hira Tariq Hijaz Ahmed Hadi Rezazadeh Shumaila Javeed Khurram Saleem Alimgeer Kamsing Nonlaopon Jamel Baili Khaled Mohamed Khedher |
| author_sort |
Hira Tariq |
| title |
New travelling wave analytic and residual power series solutions of conformable Caudrey–Dodd–Gibbon–Sawada–Kotera equation |
| title_short |
New travelling wave analytic and residual power series solutions of conformable Caudrey–Dodd–Gibbon–Sawada–Kotera equation |
| title_full |
New travelling wave analytic and residual power series solutions of conformable Caudrey–Dodd–Gibbon–Sawada–Kotera equation |
| title_fullStr |
New travelling wave analytic and residual power series solutions of conformable Caudrey–Dodd–Gibbon–Sawada–Kotera equation |
| title_full_unstemmed |
New travelling wave analytic and residual power series solutions of conformable Caudrey–Dodd–Gibbon–Sawada–Kotera equation |
| title_sort |
new travelling wave analytic and residual power series solutions of conformable caudrey–dodd–gibbon–sawada–kotera equation |
| publisher |
Elsevier |
| series |
Results in Physics |
| issn |
2211-3797 |
| publishDate |
2021-10-01 |
| description |
In this research article, a novel analytical and numerical solutions of the Caudrey–Dodd–Gibbon–Sawada–Kotera (CDGDK) equation are established by means of Tanh method and 4thorder residual power series method (RPSM). Dynamics and shapes of the extracted solutions are shown by constructing 3D surface plots. To better understand the mechanism of the CDGDK equation, 3D surface plots are developed to view the physical illustration of the extracted solutions with the selection of suitable values of the parameter. Comparisons of analytical and approximate solutions indicate that RPSM is very efficacious and reliable approach for exploring nonlinear models appearing in different areas of science and engineering. |
| topic |
Conformable CDGDK equation Residual power series method Tanh method |
| url |
http://www.sciencedirect.com/science/article/pii/S2211379721006884 |
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