TY - JOUR
T1 - Travelling wave solutions to Zufiria's higher-order Boussinesq type equations
AU - Gao, Liang
AU - Ma, Wen Xiu
AU - Xu, Wei
PY - 2009/12/15
Y1 - 2009/12/15
N2 - Zufiria's higher-order Boussinesq type equations are studied by transforming them into solvable ordinary differential equations. Various families of their travelling wave solutions are generated, which include periodic wave, solitary wave, periodic-like wave, soliton-like wave, Jacobi elliptic function periodic wave, combined non-degenerative Jacobi elliptic function-like wave, Weierstrass elliptic function periodic and rational solutions. The presented approach can be also applied to nonlinear wave equations with variable coefficients in mathematical physics and mechanics.
AB - Zufiria's higher-order Boussinesq type equations are studied by transforming them into solvable ordinary differential equations. Various families of their travelling wave solutions are generated, which include periodic wave, solitary wave, periodic-like wave, soliton-like wave, Jacobi elliptic function periodic wave, combined non-degenerative Jacobi elliptic function-like wave, Weierstrass elliptic function periodic and rational solutions. The presented approach can be also applied to nonlinear wave equations with variable coefficients in mathematical physics and mechanics.
KW - Jacobi elliptic function periodic wave
KW - Periodic wave
KW - Periodic-like wave
KW - Rational solutions
KW - Solitary wave
KW - Soliton-like wave
KW - Weierstrass elliptic function periodic
KW - Zufiria's higher-order Boussinesq type equations
UR - https://www.scopus.com/pages/publications/72149129200
U2 - 10.1016/j.na.2008.11.069
DO - 10.1016/j.na.2008.11.069
M3 - 文章
AN - SCOPUS:72149129200
SN - 0362-546X
VL - 71
SP - e711-e724
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
IS - 12
ER -