TY - JOUR
ID - 36455
TI - Modified F-Expansion Method Applied to Coupled System of Equation
JO - Journal of Sciences, Islamic Republic of Iran
JA - JSCIENCES
LA - en
SN - 1016-1104
AU - Aasaraai, A.
AU - Mehrlatifan, M.B.
AU - Khaleghizadeh, S.
AD - Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan,
Rash, Islamic Republic of Iran
AD - Modified F-Expansion Method Applied to Coupled System
of Equation
Y1 - 2013
PY - 2013
VL - 24
IS - 4
SP - 347
EP - 354
KW - Modified F-expansion Method
KW - Exact Solution
KW - Whitham-Broer-Kaup System
(1+1)-dimensional
DO -
N2 - A modified F-expansion method to find the exact traveling wave solutions ofÂ two-component nonlinear partial differential equations (NLPDEs) is discussed. We use this method to construct many new solutions to the nonlinear Whitham-Broer-Kaup system (1+1)-dimensional. The solutions obtained include Jacobi elliptic periodic wave solutions which exactly degenerate to the soliton solutions, triangular periodic wave solutions, exponential solutions and rational solutions under certain limitet conditions. In addition, some figures of partial solutions are provided for direct-viewing analysis. The method can also be extended to other types of nonlinear evolution equations in mathematical physics.
UR - https://jsciences.ut.ac.ir/article_36455.html
L1 - https://jsciences.ut.ac.ir/article_36455_7777da9c4ae4d5edbbfe88796800cdf4.pdf
ER -