TY - GEN
T1 - A new boussinesq-based constructive method and application to (2+1) dimensional KP equation
AU - Yin, Li
AU - Wang, Zhen
PY - 2010
Y1 - 2010
N2 - In this paper, we present a constructive algorithm to obtain link of nonlinear evolution equation(s) (NLEEs) and (1+1) dimensional Boussinesq equation. We could generate the solutions to nonlinear evolution equations from the solutions to (1+1) dimensional Boussinesq equation by the obtained link, including N-soliton solutions, double periodic solutions and so on . As an example, we applied this new method to (2+1) dimensional KP equation. Some well results are obtained. This method can also be applied to other nonlinear evolution equations in mathematical physics.
AB - In this paper, we present a constructive algorithm to obtain link of nonlinear evolution equation(s) (NLEEs) and (1+1) dimensional Boussinesq equation. We could generate the solutions to nonlinear evolution equations from the solutions to (1+1) dimensional Boussinesq equation by the obtained link, including N-soliton solutions, double periodic solutions and so on . As an example, we applied this new method to (2+1) dimensional KP equation. Some well results are obtained. This method can also be applied to other nonlinear evolution equations in mathematical physics.
KW - (2+1) dimensional KP equation
KW - Double periodic solutions
KW - Nonlinear evolution equation(s)
KW - Soliton solutions
UR - https://www.scopus.com/pages/publications/78649404325
U2 - 10.1007/978-3-642-16336-4_13
DO - 10.1007/978-3-642-16336-4_13
M3 - 会议稿件
AN - SCOPUS:78649404325
SN - 3642163351
SN - 9783642163357
T3 - Communications in Computer and Information Science
SP - 93
EP - 100
BT - Information Computing and Applications - International Conference, ICICA 2010, Proceedings
T2 - International Conference on Information Computing and Applications, ICICA 2010
Y2 - 15 October 2010 through 18 October 2010
ER -