New abundant solutions for the Burgers equation

This paper applies a new modified Exp-function method to search for exact solitary solutions of the Burgers equation. Using the imaginary transformation suggested by He and Wu, solitary solutions can be easily converted into periodic or compacton-like solutions. Many new solutions are appearing for the first time in the open literature.

[1]  Ji-Huan He,et al.  Generalized solitary solution and compacton-like solution of the Jaulent–Miodek equations using the Exp-function method , 2008 .

[2]  Ji-Huan He.  Application of homotopy perturbation method to nonlinear wave equations , 2005 .

[3]  Robert Conte,et al.  Link between solitary waves and projective Riccati equations , 1992 .

[4]  P. Clarkson,et al.  Solitons, Nonlinear Evolution Equations and Inverse Scattering: References , 1991 .

[5]  M. Ablowitz,et al.  Solitons, Nonlinear Evolution Equations and Inverse Scattering , 1992 .

[6]  Li Yao,et al.  Solving the fifth order Caudrey-Dodd-Gibbon (CDG) equation using the exp-function method , 2008, Appl. Math. Comput..

[7]  Ji-Huan He.  AN ELEMENTARY INTRODUCTION TO RECENTLY DEVELOPED ASYMPTOTIC METHODS AND NANOMECHANICS IN TEXTILE ENGINEERING , 2008 .

[8]  S D Zhu,et al.  Exp-function Method for the Discrete mKdV Lattice , 2007 .

[9]  Abdul-Majid Wazwaz,et al.  The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations , 2007, Appl. Math. Comput..

[10]  Ji-Huan He,et al.  Exp-function method for nonlinear wave equations , 2006 .

[11]  Ji-Huan He,et al.  Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method , 2007, Comput. Math. Appl..

[12]  Ji-Huan He.  Variational iteration method – a kind of non-linear analytical technique: some examples , 1999 .

[13]  Abdul-Majid Wazwaz,et al.  Multiple-front solutions for the Burgers equation and the coupled Burgers equations , 2007, Appl. Math. Comput..

[14]  S. Lehoczky,et al.  Fluctuation effects in the ac conductivity of thin lead films above the superconducting transition temperature , 1969 .