scholarly journals Solution of the initial value problem for the sine-Gordon equation using a Kac-Moody algebra

1985 ◽  
Vol 98 (4) ◽  
pp. 525-537 ◽  
Author(s):  
Paul Mansfield
Keyword(s):  
Initial Value Problem ◽  
Gordon Equation ◽  
Sine Gordon Equation ◽  
Moody Algebra ◽  
Initial Value

NON-UNITARY SUPERSYMMETRIC CONFORMAL FIELD THEORIES AND SUPERSYMMETRIC SINE-GORDON EQUATION

1990 ◽  
Vol 05 (25) ◽  
pp. 2071-2077 ◽  
Author(s):  
SOONKEON NAM
Keyword(s):  
Gordon Equation ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Minimal Models ◽  
Sine Gordon Equation ◽  
Moody Algebra ◽  
Superconformal Field Theories ◽  
Conformal Field ◽  
The Family ◽  
Coset Construction

We study coset construction of superconformal minimal models using admissible representations of Kac-Moody algebra. In particular, we study supersymmetric minimal models of Wn algebra, and in particular we argue that c = −5/2 cannot be considered as a minimal model of superconformal or super-W3 algebra. In the second part of the paper, we consider superconformal field theories whose perturbations correspond to breather-breather scattering in supersymmetric sine-Gordon equations, and find a family of theories with c = −3N(4N + 3)/2(N + 1), N = 1, 2, 3, …, which is the counterpart of the family of non-unitary theories with c = −2N(6N + 5)/(2N + 3), N = 1, 2, 3, …, among which N = 1 (c = −22/5) is the Yang-Lee edge singularity.

scholarly journals The Initial Value Problem for the Quadratic Nonlinear Klein-Gordon Equation

2010 ◽  
Vol 2010 ◽  
pp. 1-35 ◽  
Author(s):  
Nakao Hayashi ◽  
Pavel I. Naumkin
Keyword(s):  
Asymptotic Behavior ◽  
Initial Data ◽  
Compact Support ◽  
Initial Value Problem ◽  
Normal Forms ◽  
Gordon Equation ◽  
Initial Value ◽  
Klein Gordon ◽  
Klein Gordon Equation

We study the initial value problem for the quadratic nonlinear Klein-Gordon equation , , , , where and . Using the Shatah normal forms method, we obtain a sharp asymptotic behavior of small solutions without the condition of a compact support on the initial data which was assumed in the previous works.

Sign in / Sign up

Export Citation Format

Share Document