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math.AP2026
Cubic Nonlinear Schrödinger Systems and Orthonormal Fermionic Ground States in
Bin Chen, Yujin Guo, Yong Luo +1
We study the one-dimensional nonlinear Schrödinger system \[ -u_i''-2\Big(\sum_{k=1}^N u_k^2\Big)^{p-1}u_i=μ_i u_i \quad \mbox{in } \ \mathbb R,\ \ i=1,2,\cdots,N, \tag{S} \] where…
math.AP2026
Complete Classification and Nondegeneracy of -Component Cubic Nonlinear Schrödinger System in
Yujin Guo, Yong Luo, Juncheng Wei
We study the one-dimensional cubic nonlinear Schrödinger system \[ u_i''+2\left(\sum_{k=1}^N u_k^2\right)u_i=-μ_i u_i \quad \mbox{in } \ \mathbb R,\ \ i=1,2,\cdots,N, \] where $u=(…