Erratum: “N coupled nonlinear Schrödinger equations: Special set and applications to N=3” [J. Math. Phys. 43, 6325 (2002)]
نویسندگان
چکیده
منابع مشابه
J ul 2 00 8 TENSOR PRODUCTS AND CORRELATION ESTIMATES WITH APPLICATIONS TO NONLINEAR SCHRÖDINGER EQUATIONS
We prove new interaction Morawetz type (correlation) estimates in one and two dimensions. In dimension two the estimate corresponds to the nonlinear diagonal analogue of Bourgain's bilinear refinement of Strichartz. For the 2d case we provide a proof in two different ways. First, we follow the original approach of Lin and Strauss but applied to tensor products of solutions. We then demonstrate ...
متن کاملGround State of N Coupled Nonlinear Schrödinger Equations in Rn , n ≤ 3
We establish some general theorems for the existence and nonexistence of ground state solutions of steady-state N coupled nonlinear Schrödinger equations. The sign of coupling constants βij ’s is crucial for the existence of ground state solutions. When all βij ’s are positive and the matrix is positively definite, there exists a ground state solution which is radially symmetric. However, if al...
متن کاملDiscrete Weyl–Heisenberg transforms
Related Articles On the Birkhoff factorization problem for the Heisenberg magnet and nonlinear Schrödinger equations J. Math. Phys. 47, 063501 (2006) Quaternionic root systems and subgroups of the Aut(F4) J. Math. Phys. 47, 043507 (2006) A note on monopole moduli spaces J. Math. Phys. 44, 3517 (2003) Dirichlet forms and symmetric Markovian semigroups on CCR algebras with respect to quasi-free s...
متن کاملComment on “Removable singularities for solutions of coupled Yang-Mills-Dirac equations ” [J. Math. Phys. 47, 103502 (2006)]
A lemma from elliptic theory is used to improve a recent result by Li concerning the removability of an isolated point singularity from solutions of the coupled Yang-Mills-Dirac equations. MSC2000: 35J60, 70S15 Recently, Wei Li proved [2] that a smooth solution of the coupled YangMills-Dirac equations in a punctured Euclidean 4-disk B\{0} is equivalent via a continuous gauge transformation to a...
متن کاملSoliton dynamics in linearly coupled discrete nonlinear Schrödinger equations
We study soliton dynamics in a system of two linearly coupled discrete nonlinear Schrödinger equations, which describe the dynamics of a two-component Bose gas, coupled by an electromagnetic field, and confined in a strong optical lattice. When the nonlinear coupling strengths are equal, we use a unitary transformation to remove the linear coupling terms, and show that the existing soliton solu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2003
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.1560857