[1]
|
LI Z B, WANG M L. Travelling wave solutions to the two-dimensional KdV-Burgers equation [J]. Journal of Physics A: Mathematical and General, 1993, 26(21): 6027-6031.
|
[2]
|
李志斌. 非线性数学物理方程的行波解(I) [M]. 北京: 科学出版社, 2007.
|
[3]
|
MANAFIAN J, LAKESTANI M. Application of tan(ϕ/2)-expansion method for solving the Biswas-Milovic equation for Kerr law nonlinearity [J]. Optik, 2016, 127(4): 2040-2054. doi: 10.1016/j.ijleo.2015.11.078
|
[4]
|
HOSSEINI K, BEKIR A, ANSARI R. New exact solutions of the conformable time-fractional Cahn-Allen and Cahn-Hilliard equations using the modified Kudryashov method [J]. Optik, 2017, 132: 203-209. doi: 10.1016/j.ijleo.2016.12.032
|
[5]
|
BISWAS A, SONMEZOGLU A, EKICI M, et al. Optical soliton perturbation with fractional temporal evolution by extended $ G'/G $-expansion method [J]. Optik, 2018, 161: 301-320. doi: 10.1016/j.ijleo.2018.02.051
|
[6]
|
FOROUTAN M, MANAFIAN J, RANJBARAN A. Solitons in optical metamaterials with anti-cubic law of nonlinearity by generalized $ G'/G $-expansion method [J]. Optik, 2018, 162: 86-94. doi: 10.1016/j.ijleo.2018.02.087
|
[7]
|
BISWAS A, EKICI M, SONMEZOGLU A, et al. Highly dispersive optical solitons in absence of self-phase modulation by Jacobi’s elliptic function expansion [J]. Optik, 2019, 189: 109-120. doi: 10.1016/j.ijleo.2019.05.065
|
[8]
|
FAN E. Extended tanh-function method and its applications to nonlinear equations [J]. Physics Letters A, 2000, 277(4/5): 212-218.
|
[9]
|
LI Z B, LIU Y P. RATH: A Maple package for finding travelling solitary wave solutions to nonlinear evolution equations [J]. Computer Physics Communications, 2002, 148(2): 256-266. doi: 10.1016/S0010-4655(02)00559-3
|
[10]
|
NI W G, DAI C Q. Note on same result of different ansätz based on extended tanh-function method for nonlinear models [J]. Applied Mathematics and Computation, 2015, 270: 434-440. doi: 10.1016/j.amc.2015.08.052
|
[11]
|
ZAHRAN E H, KHATER M M. Modified extended tanh-function method and its applications to the Bogoyavlenskii equation [J]. Applied Mathematical Modelling, 2016, 40(3): 1769-1775. doi: 10.1016/j.apm.2015.08.018
|
[12]
|
EL-SHIEKH R M, GABALLAH M. Solitary wave solutions for the variable-coefficient coupled nonlinear Schrödinger equations and Davey-Stewartson system using modified sine-Gordon equation method [J]. Journal of Ocean Engineering and Science, 2020, 5(2): 180-185.
|
[13]
|
QI F H, HUANG Y H, WANG P. Solitary-wave and new exact solutions for an extended (3+1)-dimensional Jimbo-Miwa-like equation [J]. Applied Mathematics Letters, 2020, 100: 106004. doi: 10.1016/j.aml.2019.106004
|
[14]
|
王明亮, 李志斌, 周宇斌. 齐次平衡原则及其应用 [J]. 兰州大学学报(自然科学版), 1999(3): 8-16.
|
[15]
|
NGUYEN L T K. Modified homogeneous balance method: Applications and new solutions [J]. Chaos, Solitons & Fractals, 2015, 73: 148-155.
|
[16]
|
ABDELSALAM U. Traveling wave solutions for shallow water equations [J]. Journal of Ocean Engineering and Science, 2017, 2(1): 28-33. doi: 10.1016/j.joes.2017.02.002
|
[17]
|
ALI A, SEADAWY A R, LU D C. New solitary wave solutions of some nonlinear models and their applications [J]. Advances in Difference Equations, 2018, 2018(1): 232. doi: 10.1186/s13662-018-1687-7
|
[18]
|
LU D, SEADAWY A R, ALI A. Applications of exact traveling wave solutions of modified Liouville and the symmetric regularized long wave equations via two new techniques [J]. Results in Physics, 2018, 9: 1403-1410. doi: 10.1016/j.rinp.2018.04.039
|
[19]
|
ZHENG G, WANG H. Finite-time estimation for linear time-delay systems via homogeneous method [J]. International Journal of Control, 2019, 92(6): 1252-1263. doi: 10.1080/00207179.2017.1390255
|
[20]
|
MIAH M M, ALI H S, AKBAR M A, et al. New applications of the two variable $ (G'/G, 1/G) $-expansion method for closed form traveling wave solutions of integro-differential equations [J]. Journal of Ocean Engineering and Science, 2019, 4(2): 132-143. doi: 10.1016/j.joes.2019.03.001
|
[21]
|
AL AMR M O, EL GANAINI S. New exact traveling wave solutions of the (4+1)-dimensional Fokas equation [J]. Computers & Mathematics with Applications, 2017, 74(6): 1274-1287.
|
[22]
|
BENNEY D. A general theory for interactions between short and long waves [J]. Studies in Applied Mathematics, 1977, 56(1): 81-94. doi: 10.1002/sapm197756181
|
[23]
|
KICHENASSAMY S, OLVER P J. Existence and nonexistence of solitary wave solutions to higher-order model evolution equations [J]. SIAM Journal on Mathematical Analysis, 1992, 23(5): 1141-1166. doi: 10.1137/0523064
|
[24]
|
KUNIN I A. Elastic Media with Microstructure I: One-dimensional Models [M]. [S.l.]: Springer Science & Business Media, 2012.
|