TY - STD TI - Ablowitz MJ, Segur H (1981) Solitons and the inverse scattering transform. SIAM studies in applied mathematics ID - ref1 ER - TY - BOOK AU - Ablowitz, M. J. PY - 1991 DA - 1991// TI - Nonlinear Schrödinger equation and inverse scattering PB - Cambridge University Press CY - New York UR - https://doi.org/10.1017/CBO9780511623998 DO - 10.1017/CBO9780511623998 ID - Ablowitz1991 ER - TY - BOOK AU - Ablowitz, M. J. AU - Clarkson, P. A. PY - 1991 DA - 1991// TI - Solitons, nonlinear evolution equations and inverse scattering PB - Cambridge University Press CY - Cambridge UR - https://doi.org/10.1017/CBO9780511623998 DO - 10.1017/CBO9780511623998 ID - Ablowitz1991 ER - TY - STD TI - Aktosun T (2005) Solitons and inverse scattering transform. In: Clemence DP, Tang G (eds) Mathematical studies in nonlinear wave propagation, contemporary mathematics, vol 379. AmerMath. Soc, Providence, pp 47–62 ID - ref4 ER - TY - JOUR AU - Alquran, M. AU - Al-Khaled, K. PY - 2010 DA - 2010// TI - Approximations of Sturm–Liouville eigenvalues using sinc-Galerkin and differential transform methods JO - Appl Appl Math VL - 5 ID - Alquran2010 ER - TY - JOUR AU - Biswas, A. AU - Triki, H. PY - 2011 DA - 2011// TI - Soliton solution of the D(m, n) equation with generalized evolution JO - Appl Math Comput VL - 217 ID - Biswas2011 ER - TY - JOUR AU - Boussinesq, J. PY - 1872 DA - 1872// TI - Théorie des ondes et des remous qui se propagent le long d’un canal rectangulaire des vitesses sensiblement pareilles de la surface au fond JO - J Math Pures Appl VL - 7 ID - Boussinesq1872 ER - TY - BOOK AU - Courant, R. AU - Hilbert, D. PY - 1953 DA - 1953// TI - Methods of mathematical physics PB - Intersciences Pub CY - New York ID - Courant1953 ER - TY - JOUR AU - Daripa, P. AU - Hua, W. PY - 1999 DA - 1999// TI - A numerical study of an ill-posed Boussinesq equation arising in water waves and nonlinear lattices: Filtering and regularization techniques JO - Appl Math Comput VL - 101 ID - Daripa1999 ER - TY - JOUR AU - Du, M. AU - Chan, A. K. AU - Chui, C. K. PY - 1995 DA - 1995// TI - A novel approach to solving the nonlinear Schrödinger equation by the coupled amplitude-phase formulation JO - IEEE J Quant Electron VL - 31 UR - https://doi.org/10.1109/3.341723 DO - 10.1109/3.341723 ID - Du1995 ER - TY - JOUR AU - Gardner, C. S. AU - Greene, J. M. AU - Kruskal, M. D. AU - Miura, R. M. PY - 1967 DA - 1967// TI - Method for solving the Korteweg-de Vries equation JO - Phys Rev Lett VL - 19 UR - https://doi.org/10.1103/PhysRevLett.19.1095 DO - 10.1103/PhysRevLett.19.1095 ID - Gardner1967 ER - TY - STD TI - Germain JP (1972) Théorie générale des mouvements d’un fluide parfait pesant en eau-peu-profonde de profondeur constante, C.R.A.S. t.274, pp 997–1000 ID - ref12 ER - TY - STD TI - Grimshaw R (2007) Solitary, waves in fluids. Advances in fluid mechanics (ed), vol 47. WIT, Press, UK ID - ref13 ER - TY - JOUR AU - Kaisar, R. PY - 2008 DA - 2008// TI - Khan and Thomas Wu, short pulse propagation in wavelength selective index guided photonic crystal fiber coupler JO - IEEE J Sel Top Quantum Electron VL - 14 UR - https://doi.org/10.1109/JSTQE.2008.923161 DO - 10.1109/JSTQE.2008.923161 ID - Kaisar2008 ER - TY - STD TI - Laouar A, Guerziz A (2008) Numerical simulation of the field velocities and local disturbances of a long gravity wave passing above an immersed vertical barrier. Differential equations and nonlinear mechanics, volume 2008, Article ID 135982, p 11 ID - ref15 ER - TY - JOUR AU - Li, X. AU - Wang, M. PY - 2007 DA - 2007// TI - A sub-ODE method for finding exact solutions of a generalized KdV–mKdV equation with high-order nonlinear terms JO - Phys Lett A VL - 361 UR - https://doi.org/10.1016/j.physleta.2006.09.022 DO - 10.1016/j.physleta.2006.09.022 ID - Li2007 ER - TY - BOOK AU - Miranville, A. AU - Temam, R. PY - 2000 DA - 2000// TI - Modélisation mathématique et mécanique des milieux continus PB - Springer CY - New York ID - Miranville2000 ER - TY - JOUR AU - Palacios, S. L. AU - Guinea, A. AU - Fernández-Díaz, J. M. AU - Crespo, R. D. PY - 1999 DA - 1999// TI - Dark solitary waves in the nonlinear Schrödinger equation with third order dispersion, self-steepening, and self-frequency shift JO - Phys Rev E VL - 60 UR - https://doi.org/10.1103/PhysRevE.60.R45 DO - 10.1103/PhysRevE.60.R45 ID - Palacios1999 ER - TY - BOOK AU - Sulem, C. PY - 1999 DA - 1999// TI - Nonlinear Schrödinger equation, self-focusing and wave collapse PB - Springer CY - New York ID - Sulem1999 ER - TY - STD TI - Temperville A (1985) Contribution à la théorie des ondes de gravité en eau peu profonde. Thèse d’état de mathématiques, Université de Grenoble ID - ref20 ER - TY - JOUR AU - Tzirtzilakis, E. AU - Marinakis, V. AU - Apokis, C. AU - Bountis, T. PY - 2002 DA - 2002// TI - Soliton-like solutions of higher order wave equations of Korteweg-de Vries type JO - J Math Phys VL - 43 UR - https://doi.org/10.1063/1.1514387 DO - 10.1063/1.1514387 ID - Tzirtzilakis2002 ER - TY - JOUR AU - Xu, Y. AU - Savescu, M. AU - Khan, K. R. AU - Mahmood, M. F. PY - 2016 DA - 2016// TI - Anjan Biswas, Milivoj Belic, “Soliton propagation through nanoscale waveguides in optical metamaterials” JO - Optics Laser Technol VL - 77 UR - https://doi.org/10.1016/j.optlastec.2015.08.021 DO - 10.1016/j.optlastec.2015.08.021 ID - Xu2016 ER - TY - JOUR AU - Yao, L. AU - Ji-bin, L. AU - Wei-guo, R. AU - Bin, H. PY - 2007 DA - 2007// TI - Travelling wave solutions for a second order wave equation of KdV type JO - Appl Math Mech VL - 28 UR - https://doi.org/10.1007/s10483-007-1110-z DO - 10.1007/s10483-007-1110-z ID - Yao2007 ER - TY - JOUR AU - Zhang, S. AU - Yi, L. PY - 2008 DA - 2008// TI - Exact solutions of a generalized nonlinear Schrödinger equation JO - Phys Rev E VL - 78 UR - https://doi.org/10.1103/PhysRevE.78.026602 DO - 10.1103/PhysRevE.78.026602 ID - Zhang2008 ER - TY - JOUR AU - Zhou, Q. AU - Zhu, Q. AU - Liu, Y. AU - Biswas, A. AU - Bhrawy, A. H. AU - Khan, K. R. AU - Mahmood, M. F. PY - 2014 DA - 2014// TI - Solitons in optical metamaterials with parabolic law nonlinearity and spatio-temporal dispersion JO - J Optoelectron Adv Mater VL - 16 ID - Zhou2014 ER -