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Volumn 18, Issue 3, 2007, Pages 279-294

Nonradial symmetric bound states for a system of coupled Schrödinger equations

Author keywords

Bound states; Coupled schrodinger equations; Least energy solutions

Indexed keywords


EID: 84887254266     PISSN: 11206330     EISSN: 17200768     Source Type: Journal    
DOI: 10.4171/RLM/495     Document Type: Article
Times cited : (103)

References (26)
  • 1
    • 0001237446 scopus 로고    scopus 로고
    • Partially coherent solitons on a finite background
    • N. AKHMEDIEV - A. ANKIEWICZ, Partially coherent solitons on a finite background. Phys. Rev. Lett. 82 (1999), 2661-2664. (Pubitemid 129689172)
    • (1999) Physical Review Letters , vol.82 , Issue.13 , pp. 2661-2664
    • Akhmediev, N.1    Ankiewicz, A.2
  • 2
    • 33644966669 scopus 로고    scopus 로고
    • Solutions á énergie finie et minimale d'équations de Schrödinger non linéaires couplées
    • DOI 10.1016/j.crma.2006.01.024, PII S1631073X06000525
    • A. AMBROSETTI - E. COLORADO, Bound and ground states of coupled nonlinear Schrodinger equations. C. R. Math. Acad. Sci. Paris 342 (2006), 453-458. (Pubitemid 43407236)
    • (2006) Comptes Rendus Mathematique , vol.342 , Issue.7 , pp. 453-458
    • Ambrosetti, A.1    Colorado, E.2
  • 3
    • 36348990860 scopus 로고    scopus 로고
    • Standing waves of some coupled nonlinear schrodinger equations
    • A. AMBROSETTI - E. COLORADO, Standing waves of some coupled nonlinear Schrodinger equations. J. London Math. Soc. 75 (2007), 67-82.
    • (2007) J. London Math. Soc. , vol.75 , pp. 67-82
    • Ambrosetti, A.1    Colorado, E.2
  • 6
    • 0001394174 scopus 로고    scopus 로고
    • Theory of incoherent self-focusing in biased photorefractive media
    • D. N. CHRISTODOULIDES - T. H. COSKUN - M. MITCHELL - M. SEGEV, Theory of incoherent self-focusing in biased photorefractive media. Phys. Rev. Lett. 78 (1997), 646-649. (Pubitemid 127648003)
    • (1997) Physical Review Letters , vol.78 , Issue.4 , pp. 646-649
    • Christodoulides, D.N.1    Coskun, T.H.2    Mitchell, M.3    Segev, M.4
  • 7
    • 0015249887 scopus 로고
    • Uniqueness of the ground state solution for δu-u+u = 0 and a variational characterization of other solutions
    • C. V. COFFMAN, Uniqueness of the ground state solution for δu-u+u = 0 and a variational characterization of other solutions. Arch. Ration. Mech. Anal. 46 (1972), 81-95.
    • (1972) Arch. Ration. Mech. Anal. , vol.46 , pp. 81-95
    • Coffman, C.V.1
  • 9
    • 34250271532 scopus 로고
    • Symmetry and related properties via the maximum principle
    • B. GIDAS - W. M. NI - L. NIRENBERG, Symmetry and related properties via the maximum principle. Comm. Math. Phys. 68 (1979), 209-243.
    • (1979) Comm. Math. Phys. , vol.68 , pp. 209-243
    • Gidas, B.1    Ni, W.M.2    Nirenberg, L.3
  • 10
    • 0000244643 scopus 로고    scopus 로고
    • Solitary Waves for N Coupled Nonlinear Schrödinger Equations
    • F. T. HIOE, Solitary waves for N coupled nonlinear Schrodinger equations. Phys. Rev. Lett. 82(1999), 1152-1155. (Pubitemid 129583700)
    • (1999) Physical Review Letters , vol.82 , Issue.6 , pp. 1152-1155
    • Hioe, F.T.1
  • 11
    • 0037174997 scopus 로고    scopus 로고
    • Special set and solutions of coupled nonlinear Schrödinger equations
    • DOI 10.1088/0305-4470/35/42/303, PII S0305447002379964
    • F. T. HIOE - T. S. SALTER, Special set and solutions of coupled nonlinear Schrodinger equations. J. Phys. A 35 (2002), 8913-8928; Corrigendum, ibid. 37 (2004), 7821. (Pubitemid 37049555)
    • (2002) Journal of Physics A: Mathematical and General , vol.35 , Issue.42 , pp. 8913-8928
    • Hioe, F.T.1    Salter, T.S.2
  • 12
    • 0035962956 scopus 로고    scopus 로고
    • Exact soliton solutions, shape changing collisions, and partially coherent solitons in coupled nonlinear Schrödinger equations
    • DOI 10.1103/PhysRevLett.86.5043
    • T. KANNA - M. LAKSHMANAN, Exact soliton solutions, shape changing collisions, and partially coherent solitons in coupled nonlinear Schrodinger equations. Phys. Rev. Lett. 86 (2001), 5043-5046. (Pubitemid 32527739)
    • (2001) Physical Review Letters , vol.86 , Issue.22 , pp. 5043-5046
    • Kanna, T.1    Lakshmanan, M.2
  • 13
    • 17144406353 scopus 로고    scopus 로고
    • Ground state of N coupled nonlinear schrodinger equations in rn, n ≤ 3
    • T. C. LIN - J. C. WEI, Ground state of N coupled nonlinear Schrodinger equations in Rn, n ≤ 3. Comm. Math. Phys. 255 (2005), 629-653.
    • (2005) Comm. Math. Phys. , vol.255 , pp. 629-653
    • Lin, T.C.1    Wei, J.C.2
  • 14
  • 15
    • 33747168470 scopus 로고    scopus 로고
    • Spikes in two-component systems of nonlinear schrodinger equations with trapping potentials
    • T. C. LIN - J. C. WEI, Spikes in two-component systems of nonlinear Schrodinger equations with trapping potentials. J. Differential Equations 229 (2006), 538-569.
    • (2006) J. Differential Equations , vol.229 , pp. 538-569
    • Lin, T.C.1    Wei, J.C.2
  • 16
    • 33747042428 scopus 로고    scopus 로고
    • Solitary and self-similar solutions oftwo-component system of nonlinear schrodinger equations
    • T. C. LIN - J. C. WEI, Solitary and self-similar solutions oftwo-component system of nonlinear Schrodinger equations. Phys. D 220 (2006), 99-115.
    • (2006) Phys. D , vol.220 , pp. 99-115
    • Lin, T.C.1    Wei, J.C.2
  • 17
    • 85030719142 scopus 로고
    • The concentration-compactness principle in the calculus of variations. The locally compact case
    • and 223-283
    • P.-L. LIONS, The concentration-compactness principle in the calculus of variations. The locally compact case. Ann. Inst. H. Poincare Anal. Non Lineaire 1 (1984), 109-145 and 223-283.
    • (1984) Ann. Inst. H. Poincare Anal. Non Lineaire , vol.1 , pp. 109-145
    • Lions, P.-L.1
  • 18
    • 33747158213 scopus 로고    scopus 로고
    • Positive solutions for a weakly coupled nonlinear Schrödinger system
    • DOI 10.1016/j.jde.2006.07.002, PII S0022039606002531
    • L. A. MAIA - E. MONTEFUSCO - B. PELLACCI, Positive solutions for a weakly coupled nonlinear Schrodinger system. J. Differential Equations 229 (2006), 743-767. (Pubitemid 44227802)
    • (2006) Journal of Differential Equations , vol.229 , Issue.2 , pp. 743-767
    • Maia, L.A.1    Montefusco, E.2    Pellacci, B.3
  • 19
    • 0030191241 scopus 로고    scopus 로고
    • Self-trapping of partially spatially incoherent light
    • M. MITCHELL - Z. CHEN - M. SHIH - M. SEGEV, Self-trapping of partially spatially incoherent light. Phys. Rev. Lett. 77 (1996), 490-493. (Pubitemid 126625528)
    • (1996) Physical Review Letters , vol.77 , Issue.3 , pp. 490-493
    • Mitchell, M.1    Chen, Z.2    Shih, M.-F.3    Segev, M.4
  • 20
    • 0030878162 scopus 로고    scopus 로고
    • Self-trapping of incoherent white light
    • M. MITCHELL - M. SEGEV, Self-trapping of incoherent white light. Nature 387 (1997), 880-882.
    • (1997) Nature , vol.387 , pp. 880-882
    • Mitchell, M.1    Segev, M.2
  • 21
    • 84971179248 scopus 로고
    • Locating the peaks of least energy solutions to a semilinear neumann problem
    • W.-M. NI - I. TAKAGI, Locating the peaks of least energy solutions to a semilinear Neumann problem. Duke Math. J. 70 (1993), 247-281.
    • (1993) Duke Math. J. , vol.70 , pp. 247-281
    • Ni, W.-M.1    Takagi, I.2
  • 22
    • 33847197945 scopus 로고    scopus 로고
    • Least energy solitary waves for a system of nonlinear schrodinger equations in rn
    • B. SIRAKOV, Least energy solitary waves for a system of nonlinear Schrodinger equations in Rn. Comm. Math. Phys. 271 (2007), 199-221.
    • (2007) Comm. Math. Phys. , vol.271 , pp. 199-221
    • Sirakov, B.1
  • 24
    • 4244096290 scopus 로고    scopus 로고
    • Phase separation of Bose-Einstein condensates
    • E. TIMMERMANS, Phase separation of Bose-Einstein condensates. Phys. Rev. Lett. 81 (1998), 5718-5721. (Pubitemid 128628247)
    • (1998) Physical Review Letters , vol.81 , Issue.26 , pp. 5718-5721
    • Timmermans, E.1
  • 25
    • 0000031198 scopus 로고
    • Symmetry properties in systems of semilinear elliptic equations
    • W. C. TROY, Symmetry properties in systems of semilinear elliptic equations. J. Differential Equations 42 (1981), 400-413.
    • (1981) J. Differential Equations , vol.42 , pp. 400-413
    • Troy, W.C.1
  • 26
    • 33749244096 scopus 로고    scopus 로고
    • Energy bounds for entire nodal solutions of autonomous superlinear equations
    • DOI 10.1007/s00526-006-0015-3
    • T. WETH, Energy bounds for entire nodal solutions of autonomous elliptic equations via the moving plane method. Calc. Var. 27 (2006), 421-437. (Pubitemid 44483357)
    • (2006) Calculus of Variations and Partial Differential Equations , vol.27 , Issue.4 , pp. 421-437
    • Weth, T.1


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