124
Views
39
CrossRef citations to date
0
Altmetric
Original Articles

On travelling wave solutions of some nonlinear evolution equations

&
Pages 191-202 | Received 28 Mar 2003, Accepted 21 May 2003, Published online: 12 May 2010

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (6)

Abdulghani Ragaa Alharbi & Mohammed Bakheet Almatrafi. (2020) Analytical and numerical solutions for the variant Boussinseq equations. Journal of Taibah University for Science 14:1, pages 454-462.
Read now
Kamran Ayub, M. Yaqub Khan, Attia Rani, Qazi Mahmood Ul Hassan, Bilal Ahmed & Muhammad Shakeel. (2019) Application of the Exp (−φ(ζ))-expansion method for solitary wave solutions. Arab Journal of Basic and Applied Sciences 26:1, pages 376-384.
Read now
Syed Tauseef Mohyud-Din & Fitnat Saba. (2017) Extended -expansion method for Calogero–Bogoyavlinskii–Schiff equation of fractional order. Journal of Taibah University for Science 11:6, pages 1099-1109.
Read now
C.G. Latchio Tiofack, Alidou Mohamadou, Timoléon C. Kofané & K. Porsezian. (2010) Exact quasi-soliton solutions and soliton interaction for the inhomogeneous coupled nonlinear Schrödinger equations. Journal of Modern Optics 57:4, pages 261-272.
Read now
Mustafa Inc & David J. Evans. (2005) On exact solutions of some higher-dimensional nonlinear partial differential equations. International Journal of Computer Mathematics 82:6, pages 743-754.
Read now

Articles from other publishers (33)

A. Hussain, M. Usman, F.D. Zaman & S.M. Eldin. (2023) Optical solitons with DNA dynamics arising in oscillator-chain of Peyrard–Bishop model. Results in Physics 50, pages 106586.
Crossref
Eric Tala-Tebue, Cedric Tetchoka-Manemo, Mustafa Inc, Geh Wilson Ejuh & Rubayyi T. Alqahtani. (2023) Bifurcation and optical solutions of the higher order nonlinear Schrödinger equation. Optical and Quantum Electronics 55:5.
Crossref
Cedric Tetchoka-Manemo, Eric Tala-Tebue, Mustafa Inc, Geh Wilson Ejuh & Aurelien Kenfack-Jiotsa. (2023) Dynamics of optical solitons in the (2 + 1)-dimensional chiral nonlinear Schrödinger equation. International Journal of Geometric Methods in Modern Physics 20:05.
Crossref
Mohammed Bakheet Almatrafi, Abdulghani Ragaa Alharbi & Cemil Tunç. (2020) Constructions of the soliton solutions to the good Boussinesq equation. Advances in Difference Equations 2020:1.
Crossref
Khalid K. Ali, Carlo Cattani, J.F. Gómez-Aguilar, Dumitru Baleanu & M.S. Osman. (2020) Analytical and numerical study of the DNA dynamics arising in oscillator-chain of Peyrard-Bishop model. Chaos, Solitons & Fractals 139, pages 110089.
Crossref
Alphonse Houwe, Souleymanou Abbagari, Yakada Salathiel, Mustafa Inc, Serge Y. Doka, Kofane Timoléon Crépin & Dumitru Baleanu. (2020) Complex traveling-wave and solitons solutions to the Klein-Gordon-Zakharov equations. Results in Physics 17, pages 103127.
Crossref
Attia Rani, Nawab Khan, Kamran Ayub, M. Yaqub Khan, Qazi Mahmood-Ul-Hassan, Bilal Ahmed & Muhammad Ashraf. (2019) Solitary Wave Solution of Nonlinear PDEs Arising in Mathematical Physics. Open Physics 17:1, pages 381-389.
Crossref
Abbas H. Taqi, Muhannad A. Shallal, Borhan F. Jomaa & Khalid K. Ali. Travelling wave solution for some partial differential equations. Travelling wave solution for some partial differential equations.
E. Tala-Tebue, Z. I. Djoufack, S. B. Yamgoue, A. Kenfack-Jiotsa & T. C. Kofané. (2018) Chirped soliton solutions in optical medium. Optical and Quantum Electronics 51:1.
Crossref
E. Tala-Tebue, Aly R. Seadawy & Z. I. Djoufack. (2018) The modify unstable nonlinear Schrödinger dynamical equation and its optical soliton solutions. Optical and Quantum Electronics 50:10.
Crossref
Syed Tauseef Mohyud-Din & Fitnat Saba. (2017) Extended $$({\frac{G^{\prime }}{G}})$$ ( G ′ G ) -Expansion Method for Konopelchenko–Dubrovsky (KD) Equation of Fractional Order. International Journal of Applied and Computational Mathematics 3:S1, pages 161-172.
Crossref
Kamran Ayub, M Yaqub Khan, Qazi Mahmood-Ul-Hassan & Jamshad Ahmad. (2017) An efficient algorithm for computation of solitary wave solutions to nonlinear differential equations. Pramana 89:3.
Crossref
Md. Azmol Huda, M. Ali Akbar & Shewli Shamim Shanta. (2017) Abundant general solitary wave solutions to the family of KdV type equations. Journal of Ocean Engineering and Science 2:1, pages 47-54.
Crossref
Md. Nur Alam & Fethi Bin Muhammad Belgacem. (2016) Exact Traveling Wave Solutions for the (1 + 1)-Dimensional Compound KdVB Equation via the Novel (G'/G)-Expansion Method. International Journal of Modern Nonlinear Theory and Application 05:01, pages 28-39.
Crossref
Md. Nur Alam & Fethi Bin Muhammad Belgacem. (2015) Application of the Novel (G′/G)-Expansion Method to the Regularized Long Wave Equation. Waves, Wavelets and Fractals 1:1.
Crossref
H.I. Abdel-Gawad. (2014) Waves in deep water based on the nonlinear Schrödinger equation with variable coefficients. Canadian Journal of Physics 92:10, pages 1158-1165.
Crossref
Younis Mohamed Atiah Al-zahy. (2014) Soliton building from spontaneous emission by ring-cavity fiber laser using carbon nanotubes for passive mode locking. Optical Engineering 54:1, pages 011005.
Crossref
H. I. Abdel-Gawad. (2012) Towards a Unified Method for Exact Solutions of Evolution Equations. An Application to Reaction Diffusion Equations with Finite Memory Transport. Journal of Statistical Physics 147:3, pages 506-518.
Crossref
M. Eslami, A. Neyrame & M. Ebrahimi. (2012) Explicit solutions of nonlinear (2+1)-dimensional dispersive long wave equation. Journal of King Saud University - Science 24:1, pages 69-71.
Crossref
Qing Hua Feng. (2011) Traveling Wave Solution of (3+1) Dimensional Potential-YTSF Equation by Bernoulli Sub-ODE Method. Advanced Materials Research 403-408, pages 212-216.
Crossref
Qing Hua Feng & Yu Lu Wang. (2011) Traveling Wave Solution of (2+1) Dimensional Breaking Soliton Equation by Bernoulli Sub-ODE Method. Advanced Materials Research 403-408, pages 207-211.
Crossref
Qing Hua Feng & Tong Bo Liu. (2011) Traveling Wave Solution of (2+1) Dimensional Boussinesq Equation by Bernoulli Sub-ODE Method. Advanced Materials Research 403-408, pages 202-206.
Crossref
Qing Hua Feng & Chuan Bao Wen. (2011) Some Traveling Wave Solutions for the Boussinesq Equation. Advanced Materials Research 403-408, pages 196-201.
Crossref
A. Neirameh, M. Ebrahimi & A.G. Mahmeiani. (2011) The -expansion method for (2 + 1)-dimensional Kadomtsev–Petviashvili equation . Journal of King Saud University - Science 23:2, pages 179-181.
Crossref
M. Eslami & A. Neyrame. (2011) Numerical methods. Computational Mathematics and Modeling 22:1, pages 92-97.
Crossref
Hongling Fan & Qinghua Feng. (2010) Exact traveling wave solution For NLS+ equation. Exact traveling wave solution For NLS+ equation.
Feng Xu & Qinghua Feng. (2010) Exact traveling wave solution For Kadomtsev-Petviashvili equation. Exact traveling wave solution For Kadomtsev-Petviashvili equation.
Bin Zheng & Qinghua Feng. (2010) Exact traveling wave solution for nonlinear D-S equation. Exact traveling wave solution for nonlinear D-S equation.
Bin Zheng & Qinghua Feng. (2010) Exact traveling wave solution for (2+1) dimensional BKK equation. Exact traveling wave solution for (2+1) dimensional BKK equation.
Bin Zheng & Qinghua Feng. (2010) Exact traveling wave solution for nonlinear heat conduction equation. Exact traveling wave solution for nonlinear heat conduction equation.
E.M.E. Zayed & Khaled A. Gepreel. (2009) Some applications of the -expansion method to non-linear partial differential equations. Applied Mathematics and Computation 212:1, pages 1-13.
Crossref
E. M. E. Zayed & Khaled A. Gepreel. (2009) The (G′/G)-expansion method for finding traveling wave solutions of nonlinear partial differential equations in mathematical physics. Journal of Mathematical Physics 50:1.
Crossref
Wei-Ping Zhong, Rui-Hua Xie, Milivoj Belić, Nikola Petrović, Goong Chen & Lin Yi. (2008) Exact spatial soliton solutions of the two-dimensional generalized nonlinear Schrödinger equation with distributed coefficients. Physical Review A 78:2.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.