Acta mathematica scientia,Series A
1,Yong LIANG2
Received:
2023-11-21
Online:
2024-01-26
Published:
2024-01-26
Contact:
Yong LIANG
CLC Number:
Yong LIANG. Solitary and periodic solutions of the generalized b-equation[J].Acta mathematica scientia,Series A, 0, (): 0-0.
Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks
URL: http://121.43.60.238/sxwlxbA/EN/
[1]Camassa R, Holm D D.An integrable shallow water equation with peaked solitons[J][J].Phys Rev Lett, 1993, 71(71):1661-1664 [2]Cooper F, Shepard H.Solitons in the Camassa-Holm shallow water equation[J][J].Phys Lett A, 1994, 194(194):246-250 [3]Constantin A, Strauss W A.Stability of peakons[J][J].Commun Pur Appl Math, 2000, 53(53):603-610 [4] Degasperis A, Procesi M.Asymptotic integrability[J][J].Symmetry and perturbation theory, 1999, 1(1):23-37 [5] Lundmark H, Szmigielski J.Multi-peakon solutions of the Degasperis-Procesi equation[J][J].Inverse Prob, 2003, 19(19):1241-1245 [6] Chen C, Tang M Y.A new type of bounded waves for Degasperis-Procesi equations[J][J].Chaos Solit Fract, 2006, 27(27):698-704 [7] Guo B L, Liu Z R.Periodic cusp wave solutions and single-solitons for the b-equation[J][J].Chaos Solit Fract, 2005, 23(23):1451-1463 [8] Li Y.Nonuniform dependence for the Cauchy problem of the general b-equation[J][J].J Math Phys, 2001, 52(52):033101-033101 [9] Freire I L.Remarks on strong global solutions of the b-equation[J][J].Appl Math Lett, 2023, 146(146):108820-108820 [10] Tian L X, Song X Y.New peaked solitary wave solutions of the generalized Camassa-Holm equation[J][J].Chaos Solit Fract, 2004, 21(21):621-637 [11] Liu Z R, Ouyang Z Y.A note on solitary waves for modified forms of Camassa-Holm and Degasperis-Procesi equations[J][J].Phys Lett A, 2007, 366(366):377-381 [12] Khuri S A.New ansatz for obtaining wave solutions of the generalized Camassa-Holm equation[J][J].Chaos Solit Fract, 2005, 25(25):705-710 [13] Daros A, Arruda L K.On the instability of elliptic traveling wave solutions of the modified Camassa-Holm equation[J][J].J Differ Equations, 2019, 266(266):1946-1968 [14] Zhou Y Q, Chen G R, Li J B.Bifurcations, exact Peakon, periodic peakons and solitary wave solutions of the cubic Camassa-Holm type equation[J][J].Int J Bifurcat Chaos, 2023, 33(33):2350014-2350014 [15] Liu Z R, Tang H.Explicit periodic wave solutions and their bifurcations for generalized Camassa-Holm equation[J][J].Int J Bifurcat Chaos, 2010, 20(20):2507-2519 [16] Wazwaz A M.New solitary wave solutions to the modified forms of Degasperis-Procesi and Camassa-Holm equations[J][J].Appl Math Comput, 2007, 186(186):130-141 [17] Chen Y R, Ye W B, Liu R.The explicitperiodic wave solutions and their limit forms for a generalized b-equation[J][J].Acta Math Appl Sin, 2016, 32(32):513-528 [18] Yang J P, Liu R, Chen Y R.Bifurcations of solitary waves of a simple equation[J][J].Int J Bifurcat Chaos, 2020, 30(30):2050138-2050138 [19] Yang J P, Li Z G, Liu Z R.The existence and bifurcation of peakon and anti-peakon to the n-degree b-equation[J][J].Int J Bifurcat Chaos, 2018, 28(28):1850014-1850014 [20] Li Z G, Liu R.Bifurcations and exact solutions in a nonlinear wave equation[J][J].Int J Bifurcat Chaos, 2019, 29(29):1950098-1950098 [21] Li Z G, Liu R.Blow-up solutions for a case of b-family equations[J][J].Acta Math Sci, 2020, 40(40):910-920 |
[1] | Yuanfei Li, Dandan Li, Jincheng Shi. Structural Stability of Temperature Dependent Double Diffusion Model on a Semi-infinite Cylinder [J]. Acta mathematica scientia,Series A, 2024, 44(1): 120-132. |
[2] | Zhaodi Yang, Kan He, Zhoubo Duan. Entanglement Measure of Two-body Quantum System Based on the Wedge Product of Vectors [J]. Acta mathematica scientia,Series A, 2024, 44(1): 246-256. |
[3] | Peng Wu, Zerong He. Spatio-temporal Dynamics of HIV Infection Model with Periodic Antiviral Therapy and Nonlocal Infection [J]. Acta mathematica scientia,Series A, 2024, 44(1): 209-226. |
[4] | Ruijiang Wen, Fanqin Liu, Ziyi Xu. Multiplicity of Positive Solutions to Subcritical Choquard Equation [J]. Acta mathematica scientia,Series A, 2024, 44(1): 60-79. |
[5] | Fan Shishi, Li Haixia, Lu Yindou. Dynamics Analysis of a Diffusive Predator-Prey Model with Beddington-DeAngelis Function Response and Harvesting [J]. Acta mathematica scientia,Series A, 2023, 43(6): 1929-1942. |
[6] | Jian Hui, Gong Min, Wang Li. On the Blow-Up Solutions of Inhomogeneous Nonlinear Schrödinger Equation with a Partial Confinement [J]. Acta mathematica scientia,Series A, 2023, 43(5): 1350-1372. |
[7] | Shen Xuhui,Ding Juntang. Blow-Up Conditions of Porous Medium Systems with Gradient Source Terms and Nonlinear Boundary Conditions [J]. Acta mathematica scientia,Series A, 2023, 43(5): 1417-1426. |
[8] | Wu Wenju,Fan Boquan. Traveling Asymmetric Vortex Pairs of the Generalized Surface Quasi-Geostrophic Equation [J]. Acta mathematica scientia,Series A, 2023, 43(4): 1037-1061. |
[9] | Gui Kunming,Tao Hongshan,Yang Jun. Normalized Ground States for the Quasi-linear Schrödinger Equation with Combined Nonlinearities [J]. Acta mathematica scientia,Series A, 2023, 43(4): 1062-1072. |
[10] | Wang Jiyan,Cheng Yongkuan. Quasilinear Schrödinger Equations for the Heisenberg Ferromagnetic Spin Chain with the Supercritical Growth [J]. Acta mathematica scientia,Series A, 2023, 43(4): 1073-1084. |
[11] | Wang Guixian,Wang XiuBin,Han Bo. Inverse Scattering Transform for the Focusing Kundu-Eckhaus Equation: Long-time Dynamics of the Steplike Oscillating Background [J]. Acta mathematica scientia,Series A, 2023, 43(4): 1085-1122. |
[12] | Chen Min,Hu Biyan,Luo Hong. Boundary Layer Separation of 2-D Incompressible Navier-Stokes-Allen-Cahn System [J]. Acta mathematica scientia,Series A, 2023, 43(4): 1123-1132. |
[13] | Zhang Qinghua. On Weighted Estimates for the Nnonstationary 3D Navier-Stokes Flow in an Exterior Domain [J]. Acta mathematica scientia,Series A, 2023, 43(4): 1133-1148. |
[14] | Wang Kefeng,You Shouke. Supersonic Flow of Two-dimensional Van Der Waals Gas Magnetic Fluid Around Convex Corner [J]. Acta mathematica scientia,Series A, 2023, 43(4): 1170-1178. |
[15] | Cai Senlin,Zhou Shouming,Chen Rong. On the Cauchy Problem for a Shallow Water Regime of Waves with Large Amplitude [J]. Acta mathematica scientia,Series A, 2023, 43(4): 1197-1120. |
|