New exact solutions to the (2+1)-dimensional Ito equation: Extended homoclinic test technique
Tài liệu tham khảo
Ablowitz, 1974, The inverse scattering transform-Fourier analysis for nonlinear problems, Stud. Appl. Math., 53, 249, 10.1002/sapm1974534249
Hirota, 1976, N-soliton solutions of model equations for shallow water waves, J. Phys. Soc. Jpn., 40, 611, 10.1143/JPSJ.40.611
Hirota, 2004
Hirota, 1971, Exact solutions of the Korteweg-de Vries equation for multiple collisions of solitons, Phys. Rev. Lett., 27, 1192, 10.1103/PhysRevLett.27.1192
Hereman, 1992, Symbolic computation of solitons with Macsyma, Comput. Appl. Math. II: Diff. Equat., 287
Sawada, 1974, A method for finding N-soliton solutions of the KdV equation and KdV-like equation, Prog. Theor. Phys., 51, 1355, 10.1143/PTP.51.1355
Matsuno, 1984
Lan, 1990, Exact solutions for some coupled nonlinear equations. II, J. Phys. A: Math. Gen., 23, 4097, 10.1088/0305-4470/23/18/015
Wang, 1996, Exact solutions for a compound KdV-Burgers equation, Phys. Lett. A, 213, 279, 10.1016/0375-9601(96)00103-X
Ablowitz, 1996, On the numerical solution of the sine-Gordon equation: I. Integrable discretizations and homoclinic manifolds, Comput. Phys., 126, 299, 10.1006/jcph.1996.0139
Dai, 2007, Exact cross kink-wave solutions and resonance for the Jimbo–Miwa equation, Physica A, 384, 285, 10.1016/j.physa.2007.05.046
Ito, 1980, An extension of nonlinear evolution equations of the KdV (mKdV) type to higher order, J. Phys. Soc. Jpn., 49, 771, 10.1143/JPSJ.49.771
Hu, 1991, Nonlinear superposition formulae of the Ito equation and a model equation for shallow water waves, J. Phys. A: Math. Gen., 24, 1979, 10.1088/0305-4470/24/9/010
Zhang, 2004, N-soliton-like solution of Ito equation, Commun. Theor. Phys. (Beijing China), 42, 641, 10.1088/0253-6102/42/5/641
Hirota, 1980, Direct method in soliton theory