메뉴 건너뛰기




Volumn 7, Issue 2, 2006, Pages 203-208

Exact solutions and localized excitations of general Nizhnik-Novikov- Veselov system in (2+1)-dimensions via a projective approach

Author keywords

Exact solution; GNNV system; Localized excitation; Projective approach

Indexed keywords


EID: 33645763668     PISSN: 15651339     EISSN: None     Source Type: Journal    
DOI: 10.1515/IJNSNS.2006.7.2.203     Document Type: Article
Times cited : (4)

References (21)
  • 1
    • 45549119495 scopus 로고
    • Scattering of localized solitons in the plane
    • Boiti, M., Leon, J., Martina, L., and Pempinelli, F. Scattering of localized solitons in the plane, Phys. Lett. A, 132(1988)432-439
    • (1988) Phys. Lett. A , vol.132 , pp. 432-439
    • Boiti, M.1    Leon, J.2    Martina, L.3    Pempinelli, F.4
  • 2
    • 0242556779 scopus 로고    scopus 로고
    • Extended multilinear variable separation approach and multivalued localized excitations for some (2+1)-dimensional integrable systems
    • Tang, X. and Lou, S.Y. Extended multilinear variable separation approach and multivalued localized excitations for some (2+1)-dimensional integrable systems, J. Math. Phys., 44(2003) 4000-4025
    • (2003) J. Math. Phys. , vol.44 , pp. 4000-4025
    • Tang, X.1    Lou, S.Y.2
  • 3
    • 0344444263 scopus 로고    scopus 로고
    • Localized coherent soliton structures for a (2+1)-dimensional generalized schrödinger system
    • Zheng, C.L. and Sheng, Z.M. Localized coherent soliton structures for a (2+1)-dimensional generalized schrödinger system, Inter. J. Mod. Phys. B, 17(2003) 4407-4414
    • (2003) Inter. J. Mod. Phys. B , vol.17 , pp. 4407-4414
    • Zheng, C.L.1    Sheng, Z.M.2
  • 4
    • 21144433610 scopus 로고    scopus 로고
    • Semifolded localized coherent structures in generalized (2+1)-dimensional Korteweg de Vries system
    • Zheng, C.L. and Chen, L.Q. Semifolded localized coherent structures in generalized (2+1)-dimensional Korteweg de Vries system, J. Soc. Phys. Jpn., 73(2004) 293-295
    • (2004) J. Soc. Phys. Jpn. , vol.73 , pp. 293-295
    • Zheng, C.L.1    Chen, L.Q.2
  • 5
    • 13444263651 scopus 로고    scopus 로고
    • Solitons with fission and fusion behaviors in a variable coefficient Broer-Kaup sysem
    • Zheng, C.L. and Chen, L.Q. Solitons with fission and fusion behaviors in a variable coefficient Broer-Kaup sysem, Chaos, Solitons & Fractals, 24(2005) 1347-1351
    • (2005) Chaos, Solitons & Fractals , vol.24 , pp. 1347-1351
    • Zheng, C.L.1    Chen, L.Q.2
  • 6
    • 17644391061 scopus 로고    scopus 로고
    • Exact solution and semifolded structures of generalized Broer-Kaup system in (2+1)-dimensions
    • Zheng, C.L., Zhu, H. P., and Chen, L.Q. Exact solution and semifolded structures of generalized Broer-Kaup system in (2+1)-dimensions, Chaos, Solitons & Fractals, 26(2005) 189-194
    • (2005) Chaos, Solitons & Fractals , vol.26 , pp. 189-194
    • Zheng, C.L.1    Zhu, H.P.2    Chen, L.Q.3
  • 7
    • 0036799704 scopus 로고    scopus 로고
    • General solution and fractal localized structures for the (2+1)-dimensional generalized AKNS system
    • Zheng, C.L. and Zhang, J.F. General solution and fractal localized structures for the (2+1)-dimensional generalized AKNS system, Chin. Phys. Lett., 19(2002) 1399-1402
    • (2002) Chin. Phys. Lett. , vol.19 , pp. 1399-1402
    • Zheng, C.L.1    Zhang, J.F.2
  • 8
    • 1842482590 scopus 로고    scopus 로고
    • Variable separation approach to solve (2+1)-dimensional generalized Burgers system: Solitary wave and Jacobin periodic wave excitations
    • Zheng, C.L. Variable separation approach to solve (2+1)-dimensional generalized Burgers system: solitary wave and Jacobin periodic wave excitations, Commun. Theor. Phys., 41(2004) 391-396
    • (2004) Commun. Theor. Phys. , vol.41 , pp. 391-396
    • Zheng, C.L.1
  • 9
    • 36549102434 scopus 로고
    • The relations among a special type of solutions in some (D+1) dimensional nonlinear equations
    • Lou, S.Y. and Ni, G.J. The relations among a special type of solutions in some (D+1) dimensional nonlinear equations, J. Math. Phys., 30(1989) 1614-1620
    • (1989) J. Math. Phys. , vol.30 , pp. 1614-1620
    • Lou, S.Y.1    Ni, G.J.2
  • 10
    • 12944262165 scopus 로고    scopus 로고
    • New variable separation excitations of a (2+1)-dimensional Broer-Kaup-Kupershmidt system obtained by an extended mapping approach
    • Zheng, C.L., Fang, J.P., and Chen, L.Q. New variable separation excitations of a (2+1)-dimensional Broer-Kaup-Kupershmidt system obtained by an extended mapping approach, Z. Naturforsch., 59a (2004) 912-918
    • (2004) Z. Naturforsch. , vol.59 A , pp. 912-918
    • Zheng, C.L.1    Fang, J.P.2    Chen, L.Q.3
  • 11
    • 9544219696 scopus 로고    scopus 로고
    • New variable separation excitations of (2+1)-dimensional dispersive long-water wave system obtained by an extended mapping approach
    • Zheng, C.L., Fang, J.P. and Chen, L.Q. New variable separation excitations of (2+1)-dimensional dispersive long-water wave system obtained by an extended mapping approach, Chaos, Solitons &Fractals, 23(2005) 1741-1748
    • (2005) Chaos, Solitons &Fractals , vol.23 , pp. 1741-1748
    • Zheng, C.L.1    Fang, J.P.2    Chen, L.Q.3
  • 12
    • 0002539971 scopus 로고
    • Integrable two-dimensional generalization of the sine-Gordon equation and sinh-Gordon equation
    • Boiti, M., Leon, J.J.P., and Pempinelli, F. Integrable two-dimensional generalization of the sine-Gordon equation and sinh-Gordon equation, Inverse Problem, 3(1987)37-49
    • (1987) Inverse Problem , vol.3 , pp. 37-49
    • Boiti, M.1    Leon, J.J.P.2    Pempinelli, F.3
  • 13
    • 0142167940 scopus 로고    scopus 로고
    • An approxiamte analytical solution of the Klein-Gordon equation for the finte electric dipole potential
    • Matrasulov, D.U. and Ataev, S. An approxiamte analytical solution of the Klein-Gordon equation for the finte electric dipole potential, J. Phys. A, 36(2003) 10227-10232
    • (2003) J. Phys. A , vol.36 , pp. 10227-10232
    • Matrasulov, D.U.1    Ataev, S.2
  • 14
    • 0038157028 scopus 로고    scopus 로고
    • A novel singular pattern in the sine-Gordon equation
    • Debin, H. A novel singular pattern in the sine-Gordon equation, Phys. Lett. A, 314(2003)51-58
    • (2003) Phys. Lett. A , vol.314 , pp. 51-58
    • Debin, H.1
  • 15
    • 0001702502 scopus 로고
    • On a class of physical important integrable equations
    • Fokas, A.S. On a class of physical important integrable equations, Physica D, 87(1995)145-150
    • (1995) Physica D , vol.87 , pp. 145-150
    • Fokas, A.S.1
  • 16
  • 17
    • 12044254491 scopus 로고
    • An integrable shallow water equation with peaked solitons
    • Camassa, R. and Holm D.D. An integrable shallow water equation with peaked solitons, Phys. Rev. Lett., 71 (1993) 1661-1664
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 1661-1664
    • Camassa, R.1    Holm, D.D.2
  • 18
    • 12044253199 scopus 로고
    • Compactons solitons with finite wavelength
    • Rosenau, P. and Hyman, J. Compactons solitons with finite wavelength, Phys. Rev. Lett., 70(1993) 564-567
    • (1993) Phys. Rev. Lett. , vol.70 , pp. 564-567
    • Rosenau, P.1    Hyman, J.2
  • 19
    • 24344445510 scopus 로고    scopus 로고
    • A generalized F-expansion method to find abundant families of Jacobi Elliptic function solutions of the (2 + 1)-dimensional Nizhnik-Novikov-Veselov equation
    • Ren, Y.-J., and Zhang, H.-Q. A generalized F-expansion method to find abundant families of Jacobi Elliptic Function solutions of the (2 + 1)-dimensional Nizhnik-Novikov-Veselov equation, Chaos, Solitons & Fractals, 27(4)(2006) 959-979
    • (2006) Chaos, Solitons & Fractals , vol.27 , Issue.4 , pp. 959-979
    • Ren, Y.-J.1    Zhang, H.-Q.2
  • 20
    • 1842864935 scopus 로고    scopus 로고
    • Variable separation solutions obtained from Darboux transformations for the asymmetric Nizhnik-Novikov-Veselov system
    • Hu, H.-C., Tang, X.Y., Lou, S.Y., and Liu, Q.P. Variable separation solutions obtained from Darboux Transformations for the asymmetric Nizhnik-Novikov-Veselov system, Chaos, Solitons & Fractals, 22(2)(2004) 327-334
    • (2004) Chaos, Solitons & Fractals , vol.22 , Issue.2 , pp. 327-334
    • Hu, H.-C.1    Tang, X.Y.2    Lou, S.Y.3    Liu, Q.P.4
  • 21
    • 24944591944 scopus 로고    scopus 로고
    • New exact solutions and fractal patterns of generalized Broer-Kaup system via a mapping approach
    • Zheng, C.L. and Fang, J.P. New exact solutions and fractal patterns of generalized Broer-Kaup system via a mapping approach, Chaos, Solitons &Fractals, 27(2006) 1321-1327
    • (2006) Chaos, Solitons &Fractals , vol.27 , pp. 1321-1327
    • Zheng, C.L.1    Fang, J.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.