TY - JOUR
T1 - Lie group of transformations for a KdV-Boussinesq equation
AU - Krishnan, E. V.
AU - Khan, Q. J.A.
N1 - Funding Information:
The authors would like to express their sincere gratitude to the Sultan Qaboos University Research Grant No. IG/SCI/DOMS/01/06 for supporting this work.
PY - 2003/2
Y1 - 2003/2
N2 - We consider a combined Korteweg-deVries and Boussinesq equation governing long surface waves in shallow water. Considering traveling wave solutions, the basic equations will be reduced to a second order ordinary differential equation. Using the Lie group of transformations we reduce it to a first order ordinary differential equation and employ a direct method to derive its periodic solutions in terms of Jacobian elliptic functions and their corresponding solitary wave and explode decay mode solutions.
AB - We consider a combined Korteweg-deVries and Boussinesq equation governing long surface waves in shallow water. Considering traveling wave solutions, the basic equations will be reduced to a second order ordinary differential equation. Using the Lie group of transformations we reduce it to a first order ordinary differential equation and employ a direct method to derive its periodic solutions in terms of Jacobian elliptic functions and their corresponding solitary wave and explode decay mode solutions.
KW - Explode decay mode solutions
KW - Jacobian elliptic functions
KW - KdV-Boussinesq equation
KW - Solitary wave solutions
KW - Travelling wave solutions
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U2 - 10.1023/A:1022326900538
DO - 10.1023/A:1022326900538
M3 - Article
AN - SCOPUS:3543016189
VL - 53
SP - 99
EP - 105
JO - Czechoslovak Journal of Physics
JF - Czechoslovak Journal of Physics
SN - 0011-4626
IS - 2
ER -