In this paper, we investigate the multiplicity of solutions for a p-Kirchhoff system driven by a
nonlocal integro-differential operator with zero Dirichlet boundary data. As a special case …

We consider the following k-coupled nonlinear Schrödinger systems:{− Δ u j+ λ juj= μ juj
3+∑ i= 1, i≠ jk β i, jui 2 uj in RN, uj> 0 in RN, uj (x)→ 0 as| x|→+∞, j= 1, 2,⋯, k, where N≤ 3 …

In this paper we focus on existence and symmetry properties of solutions to the cubic
Schrödinger system− Δ u i+ λ iui=∑ j= 1 d β ijuj 2 ui in Ω⊂ RN, i= 1,… d where d⩾ 2, λ i, β ii> …

In this paper, we consider the multi-species nonlinear Schrödinger systems in RN:{− Δ u j+ V
j (x) uj= μ juj 3+∑ i= 1; i≠ jd β i, jui 2 uj in RN, uj (x)> 0 in RN, uj (x)→ 0 as| x|→+∞, j= 1, 2,⋯ …

We show the existence of positive bound and ground states for a system of coupled
nonlinear Schrödinger–Korteweg–de Vries equations. More precisely, we prove that there …

Existence of bound and ground states for a system of coupled nonlinear Schrödinger–KdV
equations - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books …

In this work we consider the weakly coupled Schrödinger cubic system {− Δ u i+ λ iui= μ iui
3+ ui∑ j≠ ibijuj 2 ui∈ H 1 (RN; R), i= 1,…, d, where 1≤ N≤ 3, λ i, μ i> 0 and bij= bji> 0 for …

We prove that the scattering operators and wave operators are well-defined in the energy
space for the system of defocusing Schrödinger equations {i∂ tu μ+ Δ u μ−∑ μ, ν= 1 N β μ ν …

In this paper, a Hirota bilinear method is developed for applying to the 3-coupled nonlinear
Schrödinger equations. With a reasonable assumption the exact two-superposition-one-dark …

We study the Schrödinger systems with linear and nonlinear coupling terms (doubly coupled
nonlinear Schrödinger system for short) which arise naturally in nonlinear optics, and in the …