TY - JOUR
T1 - General method and exact solutions to a generalized variable-coefficient two-dimensional KdV equation
AU - Chen, Yong
PY - 2005/3
Y1 - 2005/3
N2 - A general method to uniformly construct exact solutions in terms of special function of nonlinear partial differential equations is presented by means of a more general ansatz and symbolic computation. Making use of the general method, we can successfully obtain the solutions found by the method proposed by Fan (J. Phys. A, 36 (2003) 7009) and find other new and more general solutions, which include polynomial solutions, exponential solutions, rational solutions, triangular periodic wave solutions, soliton solutions, soliton-like solutions and Jacobi, Weierstrass doubly periodic wave solutions. A general variable-coefficient two-dimensional KdV equation is chosen to illustrate the method. As a result, some new exact soliton-like solutions are obtained.
AB - A general method to uniformly construct exact solutions in terms of special function of nonlinear partial differential equations is presented by means of a more general ansatz and symbolic computation. Making use of the general method, we can successfully obtain the solutions found by the method proposed by Fan (J. Phys. A, 36 (2003) 7009) and find other new and more general solutions, which include polynomial solutions, exponential solutions, rational solutions, triangular periodic wave solutions, soliton solutions, soliton-like solutions and Jacobi, Weierstrass doubly periodic wave solutions. A general variable-coefficient two-dimensional KdV equation is chosen to illustrate the method. As a result, some new exact soliton-like solutions are obtained.
UR - https://www.scopus.com/pages/publications/25444458310
U2 - 10.1393/ncb/i2005-10012-9
DO - 10.1393/ncb/i2005-10012-9
M3 - 文章
AN - SCOPUS:25444458310
SN - 1594-9982
VL - 120
SP - 295
EP - 302
JO - Nuovo Cimento della Societa Italiana di Fisica B
JF - Nuovo Cimento della Societa Italiana di Fisica B
IS - 3
ER -