TY - JOUR
T1 - Interactions among periodic waves and solitary waves of the (N+l)-dimensional sine-Gordon field
AU - Lou, S. Y.
AU - Hu, Heng Chun
AU - Tang, Xiao Yan
PY - 2005/3
Y1 - 2005/3
N2 - Exact solutions of the (n+ l)-dimensional sine-Gordon field equation are studied with help of those of the cubic nonlinear Klein-Gordon fields. The mapping relations among the sine-Gordon field equation and the cubic nonlinear Klein-Gordon fields are pure algebraic. By solving the cubic nonlinear Klein-Gordon equations, many new types of exact explicit solutions such as the periodic-periodic interaction waves, periodic-kink interaction waves, periodic perturbed "snake" shape solitary waves, etc., are displayed both analytically and graphically.
AB - Exact solutions of the (n+ l)-dimensional sine-Gordon field equation are studied with help of those of the cubic nonlinear Klein-Gordon fields. The mapping relations among the sine-Gordon field equation and the cubic nonlinear Klein-Gordon fields are pure algebraic. By solving the cubic nonlinear Klein-Gordon equations, many new types of exact explicit solutions such as the periodic-periodic interaction waves, periodic-kink interaction waves, periodic perturbed "snake" shape solitary waves, etc., are displayed both analytically and graphically.
UR - https://www.scopus.com/pages/publications/41349099782
U2 - 10.1103/PhysRevE.71.036604
DO - 10.1103/PhysRevE.71.036604
M3 - 文章
AN - SCOPUS:41349099782
SN - 1539-3755
VL - 71
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 3
M1 - 036604
ER -