THE RELATIONS AMONG A SPECIAL TYPE OF SOLUTIONS IN SOME (D+1)-DIMENSIONAL NONLINEAR EQUATIONS
19897 pages
Published in:
- J.Math.Phys. 30 (1989) 1614-1620
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Abstract: (AIP)
Among a special type of solutions of some kinds of nonlinear equations in (D+1) dimensions such as the cubic nonlinear Klein–Gordon, sine–Gordon, double sine–Gordon, Ginzburg–Landau equations, etc., some mapping relations exist that allow one to find a solution of one system from a solution of another. Furthermore, one can find some new solutions from a known one within the same system. Some new N‐kinklike solutions are also presented.- FIELD EQUATIONS: NONLINEAR
- Klein-Gordon equation
- sine-Gordon equation
- FIELD EQUATIONS: SOLUTION
- FIELD EQUATIONS: KINK
- FIELD EQUATIONS: SOLITON
- SPACE-TIME: ANY-DIMENSIONAL
- TRANSFORMATION: BAECKLUND
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