TY - JOUR
T1 - Symbolic computation and new travelling wave solutions for fifth-order nonlinear dispersive f K (m, n) equations
AU - Chen, Y.
AU - Li, B.
PY - 2004/3
Y1 - 2004/3
N2 - Based on computerized symbolic computation and some proper transformations, the tanh-method is improved. Using the improved method, we investigate fifth-order nonlinear dispersive f K (m, n) equations, μ n-1μt + α(μm)x + b(μn)xxx + (μn)xxxxx = 0. As a result, the more general solutions for f K (n, n) equations are obtained, which not only contain the compactons solutions but also contain many new compact and noncompact solutions. Five families of new travelling wave solutions for f K (m, n), (m ≠ n) equations are obtained, which contain kink-shaped solitons, bell-shaped solitons, triangular periodic solutions and singular solitons.
AB - Based on computerized symbolic computation and some proper transformations, the tanh-method is improved. Using the improved method, we investigate fifth-order nonlinear dispersive f K (m, n) equations, μ n-1μt + α(μm)x + b(μn)xxx + (μn)xxxxx = 0. As a result, the more general solutions for f K (n, n) equations are obtained, which not only contain the compactons solutions but also contain many new compact and noncompact solutions. Five families of new travelling wave solutions for f K (m, n), (m ≠ n) equations are obtained, which contain kink-shaped solitons, bell-shaped solitons, triangular periodic solutions and singular solitons.
UR - https://www.scopus.com/pages/publications/6344246437
U2 - 10.1393/ncb/i2004-10062-5
DO - 10.1393/ncb/i2004-10062-5
M3 - 文章
AN - SCOPUS:6344246437
SN - 1594-9982
VL - 119
SP - 227
EP - 237
JO - Nuovo Cimento della Societa Italiana di Fisica B
JF - Nuovo Cimento della Societa Italiana di Fisica B
IS - 3
ER -