|
[1]
|
Akhmediev, N.N. and Ankiewicz, A. (1997) Solitons, Nonlinear Pulses and Beams. Chapman& Hall, London.
|
|
[2]
|
Bhattarai, S. (2015) Stability of Solitary-Wave Solutions of Coupled NLS Equations with Power-Type Nonlinearities. Advances in Nonlinear Analysis, 4, 73-90. [Google Scholar] [CrossRef]
|
|
[3]
|
Kivshar, Y.S. and Agrawal, G.P. (2003) Optical Solitons: From Fibers to Photonic Crystals. Academic Press, San Diego. [Google Scholar] [CrossRef]
|
|
[4]
|
Manakov, S.V. (1974) On the Theory of Two-Dimensional Stationary Self-Focusing of Elec- tromagnetic Waves. Soviet Physics-JETP, 38, 248-253.
|
|
[5]
|
Menyuk, C. (1987) Nonlinear Pulse Propagation in Birefringent Optical Fibers. IEEE Journal of Quantum Electronics, 23, 174-176. [Google Scholar] [CrossRef]
|
|
[6]
|
Wadati, M., Iizuka, T. and Hisakado, M. (1992) A Coupled Nonlinear Schro¨dinger Equation and Optical Solitons. Journal of the Physical Society of Japan, 61, 2241-2245. [Google Scholar] [CrossRef]
|
|
[7]
|
Menyuk, C.R. (1987) Nonlinear Pulse Propagation in Birefringent Optical Fibers. IEEE Jour- nal of Quantum Electronics, 23, 174-176. [Google Scholar] [CrossRef]
|
|
[8]
|
Bartsch, T. and Wang, Z.Q. (2006) Note On Ground States of Nonlinear Schro¨dinger Systems. Journal of Partial Differential Equations, 19, 200-207.
|
|
[9]
|
Cipolatti, R. and Zumpichiatti, W. (2000) Orbitally Stable Standing Waves for a System of Coupled Nonlinear Schro¨dinger Equations. Nonlinear Analysis, Theory, Methods and Applica- tions, 42, 445-461. [Google Scholar] [CrossRef]
|
|
[10]
|
Lopes, O. (2006) Stability of Solitary Waves of Some Coupled Systems. Nonlinearity, 19, 95-114. [Google Scholar] [CrossRef]
|
|
[11]
|
Lopes, O. (2011) Stability of Solitary Waves for a Generalized Nonlinear Coupled Schro¨dinger Systems. Sao Paulo Journal of Mathematical Sciences, 5, 175-184. [Google Scholar] [CrossRef]
|
|
[12]
|
Nguyen, N.V. and Wang, Z.Q. (2011) Orbital Stability of Solitary Waves for a Nonlinear Schro¨dinger System. Advances in Differential Equations, 16, 977-1000. [Google Scholar] [CrossRef]
|
|
[13]
|
Cely, L. and Goloshchapova, N. (2022) Variational and Stability Properties of Coupled NLS Equations on the Star Graph. Nonlinear Analysis, 224, Article 113056. [Google Scholar] [CrossRef]
|
|
[14]
|
Chen, J.Q. and Guo, B.L. (2009) Blow-Up Profile to the Solutions of Two-Coupled Schro¨dinger Equations. Journal of Mathematical Physics, 50, Article 023505. [Google Scholar] [CrossRef]
|
|
[15]
|
高毅立. 非线性薛定号方程组解的爆破准则[J]. 数学进展, 2021, 50(5): 723-728.
|
|
[16]
|
朱琳, 李春花. 一类带幕型非线性薛定号方程组的爆破准则[J]. 黑龙江大学自然科学学报, 2023 40(1): 16-24.
|
|
[17]
|
Gustafson, S., Nakanishi, K. and Tsai, T.-P. (2006) Scattering for the Gross-Pitaevskii Equa- tion. Mathematical Research Letters, 13, 273-285. [Google Scholar] [CrossRef]
|
|
[18]
|
Gustafson, S., Nakanishi, K. and Tsai, T.-P. (2007) Global Dispersive Solutions for the Gross- Pitaevskii Equation in Two and Three Dimensions. Annales Henri Poincar´e, 8, 1303-1331. [Google Scholar] [CrossRef]
|
|
[19]
|
Fujiwara, K. and Ozawa, T. (2015) Remarks on Global Solutions to the Cauchy Problem for Semirelativistic Equations with Power Type Nonlinearity. International Journal of Mathemat- ical Analysis, 9, 2599-2610. [Google Scholar] [CrossRef]
|
|
[20]
|
Kwa´snicki, M. (2017) Ten Equivalent Definitions of the Fractional Laplace Operator. Fractional Calculus and Applied Analysis, 20, 7-51. [Google Scholar] [CrossRef]
|
|
[21]
|
Dao, T.A. and Reissig, M. (2021) Blow-Up Results for Semi-Linear Structurally Damped σ-Evolution Equations. Anomalies in Partial Differential Equations. In: Cicognani, M., Del Santo, D., Parmeggiani, A. and Reissig, M., Eds., Anomalies in Partial Differential Equations, Vol. 43, Springer, Cham, 213-245. 10 [Google Scholar] [CrossRef]
|