Blow-up solutions for N coupled Schrodinger equations
Texas State University-San Marcos, Department of Mathematics
It is proved that blow-up solutions to N coupled Schrödinger equations iϕjt + ϕjxx + μj|ϕj|p-2 ϕj + ∑Nk≠j, k=1 βkj|ϕk|pk|ϕj|pj-2 ϕj = 0 exist only under the condition that the initial data have strictly negative energy.
Blow-up solutions, Coupled Schrödinger equations
Chen, J., & Guo, B. (2007). Blow-up solutions for N coupled Schrodinger equations. <i>Electronic Journal of Differential Equations, 2007</i>(61), pp. 1-10.