[1] |
Lou, S. Y., Deformations of the Riccati equation by using Miura-type transformations, J. Phys. A: Math. Gen., 30, 7259-7267, 1997 · Zbl 0928.35151 · doi:10.1088/0305-4470/30/20/024 |
[2] |
Lou, S. Y., Searching for higher dimensional integrable models from lower ones via Painlevé analysis, Phys. Rev. Lett., 80, 5027-5031, 1998 · Zbl 0987.37065 · doi:10.1103/PhysRevLett.80.5027 |
[3] |
Lou, S. Y.; Hao, X. Z.; Jia, M., Deformation conjecture: deforming lower dimensional integrable systems to higher dimensional ones by using conservation laws, J. High Energy Phys., 2023, 1-14, 2023 · Zbl 07690582 · doi:10.1007/JHEP03(2023)018 |
[4] |
Casati, M.; Zhang, D. D., Multidimensional integrable deformations of integrable PDEs, J. Phys. A: Math. Theor., 56, 2023 · Zbl 1531.37061 · doi:10.1088/1751-8121/ad0ac8 |
[5] |
Lou, S. Y.; Hao, X. Z.; Jia, M., Higher dimensional reciprocal integrable Kaup-Newell systems, Acta Phys. Sin., 72, 38-47, 2023 · doi:10.7498/aps.72.20222418 |
[6] |
Hao, X. Z.; Lou, S. Y., Higher dimensional integrable deformations of the modified KdV equation, Commun. Theor. Phys., 75, 2023 · Zbl 1519.35272 · doi:10.1088/1572-9494/acd99c |
[7] |
Wang, F. R.; Lou, S. Y., Lax integrable higher dimensional Burgers systems via a deformation algorithm and conservation laws, Chaos Soliton Fract., 169, 2023 · doi:10.1016/j.chaos.2023.113253 |
[8] |
Lou, S. Y.; Jia, M.; Hao, X. Z., Higher dimensional Camassa-Holm equations, Chin. Phys. Lett., 40, 2023 · doi:10.1088/0256-307X/40/2/020201 |
[9] |
Jia, M.; Lou, S. Y., Searching for (2+1)-dimensional nonlinear Boussinesq equation from (1+1)-dimensional nonlinear Boussinesq equation, Commun. Theor. Phys., 75, 2023 · Zbl 1519.35263 · doi:10.1088/1572-9494/acd99b |
[10] |
Kupershmidt, B. A., Mathematics of dispersive water waves, Commun. Math. Phys., 99, 51-73, 1985 · Zbl 1093.37511 · doi:10.1007/BF01466593 |
[11] |
Geng, X. G.; Wu, Y. T., Finite-band solutions of the classical Boussinesq-Burgers equations, J. Math. Phys., 40, 2971-2982, 1999 · Zbl 0944.35085 · doi:10.1063/1.532739 |
[12] |
Li, Y. S.; Ma, W. X.; Zhang, J. E., Darboux transformations of classical Boussinesq system and its new solutions, Phys. Lett. A, 275, 60-66, 2000 · Zbl 1115.35329 · doi:10.1016/S0375-9601(00)00583-1 |
[13] |
Wazwaz, A. M., A variety of soliton solutions for the Boussinesq-Burgers equation and the higher-order Boussinesq-Burgers equation, Filomat, 31, 831-840, 2017 · Zbl 1488.35493 · doi:10.2298/FIL1703831W |
[14] |
Rui, X., Darboux transformations and soliton solutions for classical Boussinesq-Burgers equation, Commun. Theor. Phys., 50, 579-582, 2008 · Zbl 1392.35078 · doi:10.1088/0253-6102/50/3/08 |
[15] |
Abdulwahhab, M. A., Hamiltonian structure, optimal classification, optimal solutions and conservation laws of the classical Boussinesq-Burgers system, Part. Differ. Equ. Appl. Math., 6, 2022 · doi:10.1016/j.padiff.2022.100442 |
[16] |
Matveev, V. B.; Salle, M. A., Darboux Transformations and Solitons, 1991, Berlin: Springer, Berlin · Zbl 0744.35045 |
[17] |
Hirota, R., Exact solution of the Korteweg-de Vries equation for multiple collisions of solitons, Phys. Rev. Lett., 27, 1192-1194, 1971 · Zbl 1168.35423 · doi:10.1103/PhysRevLett.27.1192 |
[18] |
Gardner, C. S.; Greene, J. M.; Kruskal, M. D.; Miura, R. M., Method for solving the Korteweg-deVries equation, Phys. Rev. Lett., 19, 1095-1097, 1967 · Zbl 1061.35520 · doi:10.1103/PhysRevLett.19.1095 |
[19] |
Olver, P. J., Application of Lie Groups to Differential Equations, 1986, Berlin: Springer, Berlin · Zbl 0588.22001 |
[20] |
Bluman, G. W.; Anco, S. C., Symmetry and Integration Methods for Differential Equations, 2002, Berlin: Springer, Berlin · Zbl 1013.34004 |