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 -