Journal of Engineering and Applied Sciences

Year: 2019
Volume: 14
Issue: 12
Page No. 4010 - 4017

New Application for Generalized Regularized Long Wave (GRLW) Equation, Modified Dispersive Water Wave (MDWW) Equation and Kawahara Equation by Homogeneous Balance Method

Authors : Wafaa M. Taha, Israa A. Ibrahim and M.S.M. Noorani

References

Abazari, R., 2010. Application of (G′/G)-expansion method to travelling wave solutions of three nonlinear evolution equation. Comput. Fluids, 39: 1957-1963.
CrossRef  |  Direct Link  |  

Alzaidy, J.F., 2013. The (G'/G)-expansion method for finding traveling wave solutions of some nonlinear PDES in mathematical physics. Intl. J. Mod. Eng. Res., 3: 369-376.
Direct Link  |  

Antonova, M. and A. Biswas, 2009. Adiabatic parameter dynamics of perturbed solitary waves. Commun. Nonlinear Sci. Numer. Simul., 14: 734-748.
CrossRef  |  Direct Link  |  

Benjamin, R.T., J.L. Bona and J.J. Mahony, 1972. Model equations for long waves in nonlinear dispersive systems. Philos. Trans. R. Soc. London, 272: 47-78.
Direct Link  |  

Biswas, A., 2010. Solitary waves for power-law regularized long-wave equation and R (m,n) equation. Nonlinear Dyn., 59: 423-426.
Direct Link  |  

Bridges, T.J. and G. Derks, 2002. Linear instability of solitary wave solutions of the Kawahara equation and its generalizations. SIAM. J. Math. Anal., 33: 1356-1378.
CrossRef  |  Direct Link  |  

Elwakil, S.A., S.K. El-Labany, M.A. Zahran and R. Sabry, 2003. Exact travelling wave solutions for the generalized shallow water wave equation. Chaos Solitons Fractals, 17: 121-126.
CrossRef  |  Direct Link  |  

Elwakil, S.A., S.K. El-Labany, M.A. Zahran and R. Sabry, 2004. New exact solutions for a generalized variable coefficients 2D KdV equation. Chaos Solitons Fractals, 19: 1083-1086.
Direct Link  |  

Fan, E., 2000. Two new applications of the homogeneous balance method. Phys. Lett., 265: 353-357.
CrossRef  |  Direct Link  |  

Fan, E., 2003. An algebraic method for finding a series of exact solutions to integrable and nonintegrable nonlinear evolution equations. J. Phys. Math. Gen., 36: 7009-7026.
Direct Link  |  

Kawahara, T., 1972. Oscillatory solitary waves in dispersive media. J. Phys. Soc. Jpn., 33: 260-264.
CrossRef  |  Direct Link  |  

Khalfallah, M., 2009. New exact traveling wave solutions of the (3+ 1) dimensional Kadomtsev-Petviashvili (KP) equation. Commun. Nonlinear Sci. Numer. Simul., 14: 1169-1175.
Direct Link  |  

Neyrame, A., A. Roozi, S.S. Hosseini and S.M. Shafiof, 2010. Exact travelling wave solutions for some nonlinear partial differential equations. J. King Saud Univ. Sci., 22: 275-278.
CrossRef  |  Direct Link  |  

Ozis, T. and I. Aslan, 2010. Application of the G′/G-expansion method to Kawahara type equations using symbolic computation. Appl. Math. Comput., 216: 2360-2365.
CrossRef  |  Direct Link  |  

Peregrine, D.H., 1966. Calculations of the development of an undular bore. J. Fluid Mech., 25: 321-330.
CrossRef  |  Direct Link  |  

Razborova, P., H. Triki and A. Biswas, 2013. Perturbation of dispersive shallow water waves. Ocean Eng., 63: 1-7.
CrossRef  |  Direct Link  |  

Wang, M., X. Li and J. Zhang, 2008. The (G′ G)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics. Phys. Lett., 372: 417-423.
Direct Link  |  

Wang, M., Y. Zhou and Z. Li, 1996. Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics. Phys. Lett., 216: 67-75.
CrossRef  |  Direct Link  |  

Wang, M.L., 1995. Solitary wave solutions for variant Boussinesq equations. Phys. Lett. A., 199: 169-172.
Direct Link  |  

Wazwaz, A.M., 2006. New solitary wave solutions to the Kuramoto-Sivashinsky and the Kawahara equations. Appl. Math. Comput., 182: 1642-1650.
CrossRef  |  Direct Link  |  

Zayed, E.M. and K.A. Alurrfi, 2014. The homogeneous balance method and its applications for finding the exact solutions for nonlinear evolution equations. Ital. J. Pure Appl. Math., 33: 307-318.
Direct Link  |  

Zayed, E.M.E. and A.H. Arnous, 2012. DNA dynamics studied using the homogeneous balance method. Chin. Phys. Lett., 29: 10-12.
Direct Link  |  

Zhao, X., L. Wang and W. Sun, 2006. The repeated homogeneous balance method and its applications to nonlinear partial differential equations. Chaos Solitons Fractals, 28: 448-453.
CrossRef  |  Direct Link  |  

Design and power by Medwell Web Development Team. © Medwell Publishing 2024 All Rights Reserved