Study of Nonlinear Evolution Equations in Mathematical Physics

Study of Nonlinear Evolution Equations in Mathematical Physics

Kamruzzaman Khan Ph.D.

Contact

Sadia Marzan

Contact

Fatima Farhana

Contact

Md. Tanjir Ahmed

Contact

M. Ali Akbar

Contact

α Pabna University of Science and Technology

Study of Nonlinear Evolution Equations in Mathematical Physics

Article Fingerprint

ReserarchID

330UG

Study of Nonlinear Evolution Equations in Mathematical Physics Banner

AI TAKEAWAY

Connecting with the Eternal Ground

Abstract

In the present paper, we construct the traveling wave solutions involving parameters for some nonlinear evolution equations in the mathematical physics via the Konopelchenko-Dubrovsky Coupled System equation and the (1+1)-dimensional nonlinear Ostrovsky equation by using the Bernoulli Sub-ODE method. By using this method exact solutions involving parameters have been obtained. When the parameters are taken as special values, solitary wave solutions have been originated from the hyperbolic function solutions. It has been shown that the method is effective and can be used for many other NLEEs in mathematical physics.

References

16 Cites in Article

Reference Format

M Ahmed,K Khan,M Akbar (2013). Study of Nonlinear Evolution Equations to Construct Traveling Wave Solutions via Modified Simple Equation Method.
Abdul-Majid Wazwaz (2005). The tanh method: solitons and periodic solutions for the Dodd–Bullough–Mikhailov and the Tzitzeica–Dodd–Bullough equations.
Mirzazade Taghizadeh (2011). Exact Travelling Wave solutions for Konopelchenko-Dubrovsky equation by the First Integral Method.
Ji-Huan He,Xu-Hong Wu (2006). Exp-function method for nonlinear wave equations.
M Akbar,N Ali (2011). Exp-function method for Duffing Equation and new solutions of (2+1) dimensional dispersive long wave equations.
A Bekir,A Boz (2008). Exact solutions for nonlinear evolution equations using Expfunction method.
Ahmad Ali (2011). New generalized Jacobi elliptic function rational expansion method.
S Mohiud-Din Homotopy perturbation method for solving fourth-order boundary value problems.
Syed Mohyud-Din,Muhammad Noor (2009). Homotopy Perturbation Method for Solving Partial Differential Equations.
S Mohyud-Din,A Yildirim,S Sariaydin (2011). Numerical soliton solutions of the improved Boussinesq equation.
Bin Zheng (2012). Soling a Nonlinear Evolution Equation by A Proposed Bernoulli Sub-ODE Method.
Bin Zheng (2011). A New Bernoulli Sub-ODE Method for constructing traveling wave solutions for two nonlinear equations with any order.
K Khan,M Akbar Traveling Wave Solutions of Nonlinear Evolution Equations via the Enhanced (G'/G)-expansion Method.
K Khan,M Akbar (2013). Solitons and Periodic Wave Solutions of The (3+1)dimensional Potential Yu-Toda-Sasa-Fukuyama Equation.
Md. Islam,Kamruzzaman Khan,M Akbar (2017). Exact travelling wave solutions of the (3 + 1)- dimensional potential Yu-Toda-Sasa-Fukuyama equation through the improved F-expansion method with Riccati equation.
K Khan,Akbar -expansion method to find.

Download References

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Kamruzzaman Khan. 2013. \u201cStudy of Nonlinear Evolution Equations in Mathematical Physics\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue F9): .

More Citation Formats

Select Citation Style:

Download Citation

Download Article

GJSFR Volume 13 Issue F9
Pg. 45- 53

Explore Journals Explore Volume Read This Issue

Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

bernoulli sub-ode method so the (1+1)- dimensional nonlinear ostrovsky equation the konopelchenko-dubrovsky coupled system equation traveling wave

Submission ReceivedSeptember 4, 2013
Peer Review Double Blind
Handling Editor
Accepted October 1, 2013
Published October 13, 2013

Version of record

v1.2

Issue date

November 5, 2013

Language

Experiance in AR

Explore published articles in an immersive Augmented Reality environment. Our platform converts research papers into interactive 3D books, allowing readers to view and interact with content using AR and VR compatible devices.

View in VR

Read in 3D

Your published article is automatically converted into a realistic 3D book. Flip through pages and read research papers in a more engaging and interactive format.

View in 3D

Article Matrices

Total Score: 105

Country: Unknown

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: Sadia Marzan, Fatima Farhana, Md. Tanjir Ahmed, Kamruzzaman Khan, M. Ali Akbar (PhD/Dr. count: 0)

View Count (all-time): 113

Total Views (Real + Logic): 4893

Total Downloads (simulated): 2454

Publish Date: 2013 11, Tue

Monthly Totals (Real + Logic):

Month 1: 28 views
Month 2: 51 views
Month 3: 23 views
Month 4: 54 views
Month 5: 42 views
Month 6: 24 views
Month 7: 31 views
Month 8: 55 views
Month 9: 19 views
Month 10: 51 views
Month 11: 29 views
Month 12: 35 views
Month 13: 15 views
Month 14: 24 views
Month 15: 38 views
Month 16: 24 views
Month 17: 15 views
Month 18: 30 views
Month 19: 16 views
Month 20: 23 views
Month 21: 37 views
Month 22: 40 views
Month 23: 34 views
Month 24: 31 views
Month 25: 33 views
Month 26: 34 views
Month 27: 33 views
Month 28: 36 views
Month 29: 47 views
Month 30: 26 views
Month 31: 22 views
Month 32: 29 views
Month 33: 31 views
Month 34: 36 views
Month 35: 18 views
Month 36: 33 views
Month 37: 22 views
Month 38: 39 views
Month 39: 42 views
Month 40: 32 views
Month 41: 42 views
Month 42: 31 views
Month 43: 19 views
Month 44: 27 views
Month 45: 31 views
Month 46: 34 views
Month 47: 22 views
Month 48: 14 views
Month 49: 35 views
Month 50: 24 views
Month 51: 21 views
Month 52: 34 views
Month 53: 30 views
Month 54: 43 views
Month 55: 29 views
Month 56: 49 views
Month 57: 34 views
Month 58: 35 views
Month 59: 37 views
Month 60: 20 views
Month 61: 37 views
Month 62: 39 views
Month 63: 37 views
Month 64: 29 views
Month 65: 31 views
Month 66: 22 views
Month 67: 19 views
Month 68: 42 views
Month 69: 37 views
Month 70: 33 views
Month 71: 36 views
Month 72: 24 views
Month 73: 28 views
Month 74: 15 views
Month 75: 20 views
Month 76: 45 views
Month 77: 43 views
Month 78: 38 views
Month 79: 31 views
Month 80: 46 views
Month 81: 41 views
Month 82: 48 views
Month 83: 22 views
Month 84: 22 views
Month 85: 40 views
Month 86: 39 views
Month 87: 27 views
Month 88: 42 views
Month 89: 42 views
Month 90: 34 views
Month 91: 36 views
Month 92: 27 views
Month 93: 36 views
Month 94: 17 views
Month 95: 31 views
Month 96: 24 views
Month 97: 23 views
Month 98: 40 views
Month 99: 38 views
Month 100: 35 views
Month 101: 32 views
Month 102: 24 views
Month 103: 41 views
Month 104: 28 views
Month 105: 41 views
Month 106: 45 views
Month 107: 24 views
Month 108: 18 views
Month 109: 25 views
Month 110: 33 views
Month 111: 32 views
Month 112: 30 views
Month 113: 27 views
Month 114: 26 views
Month 115: 13 views
Month 116: 30 views
Month 117: 24 views
Month 118: 33 views
Month 119: 19 views
Month 120: 45 views
Month 121: 36 views
Month 122: 24 views
Month 123: 31 views
Month 124: 43 views
Month 125: 32 views
Month 126: 38 views
Month 127: 33 views
Month 128: 37 views
Month 129: 48 views
Month 130: 29 views
Month 131: 46 views
Month 132: 31 views
Month 133: 25 views
Month 134: 43 views
Month 135: 16 views
Month 136: 28 views
Month 137: 36 views
Month 138: 21 views
Month 139: 37 views
Month 140: 49 views
Month 141: 39 views
Month 142: 28 views
Month 143: 22 views
Month 144: 39 views
Month 145: 26 views
Month 146: 21 views
Month 147: 31 views
Month 148: 38 views
Month 149: 47 views
Month 150: 43 views

Total Views: 4893

Total Downloads: 2454

2026 Trends

Published Article

Our website is actively being updated, and changes may occur frequently. Please clear your browser cache if needed. For feedback or error reporting, please email [email protected]