TY - JOUR AU - Kanna, T. AU - Lakshmanan, M. PY - 2001 DA - 2001// TI - Exact soliton solutions, shape changing collisions, and partially coherent solitons in coupled nonlinear Schrödinger equations JO - Phys. Rev. Lett. VL - 86 UR - https://doi.org/10.1103/PhysRevLett.86.5043 DO - 10.1103/PhysRevLett.86.5043 ID - Kanna2001 ER - TY - JOUR AU - Baronio, F. AU - Degasperis, A. AU - Conforti, M. AU - Wabnitz, S. PY - 2012 DA - 2012// TI - Solutions of the vector nonlinear Schrödinger equations: evidence for deterministic rogue waves JO - Phys. Rev. Lett. VL - 109 UR - https://doi.org/10.1103/PhysRevLett.109.044102 DO - 10.1103/PhysRevLett.109.044102 ID - Baronio2012 ER - TY - JOUR AU - Dubrovin, B. A. AU - Malanyuk, T. M. AU - Krichever, I. M. AU - Makhankov, V. G. PY - 1988 DA - 1988// TI - Exact solutions of the time-dependent Schrödinger equation with self-consistent potentials JO - Sov. J. Part. Nucl. VL - 19 ID - Dubrovin1988 ER - TY - JOUR AU - Guo, B. L. AU - Ling, L. M. PY - 2011 DA - 2011// TI - Rogue wave, breathers and bright-dark-rogue solutions for the coupled Schrodinger equations JO - Chin. Phys. Lett. VL - 28 UR - https://doi.org/10.1088/0256-307X/28/11/110202 DO - 10.1088/0256-307X/28/11/110202 ID - Guo2011 ER - TY - JOUR AU - Zhao, L. AU - Liu, J. PY - 2013 DA - 2013// TI - Rogue-wave solutions of a three-component coupled nonlinear Schrödinger equation JO - Phys. Rev. E VL - 87 UR - https://doi.org/10.1103/PhysRevE.87.013201 DO - 10.1103/PhysRevE.87.013201 ID - Zhao2013 ER - TY - JOUR AU - Ling, L. M. AU - Guo, B. L. AU - Zhao, L. C. PY - 2014 DA - 2014// TI - High-order rogue waves in vector nonlinear Schrödinger equations JO - Phys. Rev. E VL - 89 UR - https://doi.org/10.1103/PhysRevE.89.041201 DO - 10.1103/PhysRevE.89.041201 ID - Ling2014 ER - TY - JOUR AU - Ling, L. M. AU - Zhao, L. C. AU - Guo, B. L. PY - 2015 DA - 2015// TI - Darboux transformation and multi-dark soliton for N-component coupled nonlinear Schrödinger equations JO - Nonlinearity VL - 28 UR - https://doi.org/10.1088/0951-7715/28/9/3243 DO - 10.1088/0951-7715/28/9/3243 ID - Ling2015 ER - TY - JOUR AU - Guo, B. L. AU - Ling, L. M. AU - Liu, Q. P. PY - 2012 DA - 2012// TI - Nonlinear Schrödinger equation: generalized Darboux transformation and rogue wave solutions JO - Phys. Rev. E VL - 85 UR - https://doi.org/10.1103/PhysRevE.85.026607 DO - 10.1103/PhysRevE.85.026607 ID - Guo2012 ER - TY - JOUR AU - Ling, L. M. AU - Zhao, L. C. AU - Guo, B. L. PY - 2016 DA - 2016// TI - Darboux transformation and classification of solution for mixed coupled nonlinear Schrödinger equations JO - Commun. Nonlinear Sci. Numer. Simul. VL - 32 UR - https://doi.org/10.1016/j.cnsns.2015.08.023 DO - 10.1016/j.cnsns.2015.08.023 ID - Ling2016 ER - TY - JOUR AU - Chabchoub, A. AU - Kimmoun, O. AU - Branger, H. AU - Hoffmann, N. AU - Proment, D. AU - Onorato, M. PY - 2006 DA - 2006// TI - Inverse scattering transform for the vector nonlinear Schrödinger equation with nonvanishing boundary conditions JO - J. Math. Phys. VL - 47 UR - https://doi.org/10.1063/1.2209169 DO - 10.1063/1.2209169 ID - Chabchoub2006 ER - TY - STD TI - Tsuchida, T.: Exact solutions of multicomponent nonlinear Schrodinger equations under general plane-wave boundary conditions, 2013. Preprint. arXiv:1308.6623 UR - http://arxiv.org/abs/arXiv:1308.6623 ID - ref11 ER - TY - JOUR AU - Dean, G. AU - Klotz, T. AU - Prinari, B. AU - Vitale, F. PY - 2013 DA - 2013// TI - Dark-dark and dark-bright soliton interactions in the two-component defocusing nonlinear Schrödinger equation JO - Appl. Anal. VL - 92 UR - https://doi.org/10.1080/00036811.2011.618126 DO - 10.1080/00036811.2011.618126 ID - Dean2013 ER - TY - JOUR AU - Wright, O. C. AU - Forest, G. M. PY - 2000 DA - 2000// TI - On the Backlund-gauge transformation and homoclinic orbits of a coupled nonlinear Schrödinger system JO - Phys. D: Nonlinear Phenom. VL - 141 UR - https://doi.org/10.1016/S0167-2789(00)00021-X DO - 10.1016/S0167-2789(00)00021-X ID - Wright2000 ER - TY - JOUR AU - Feng, B. F. PY - 2014 DA - 2014// TI - General n-soliton solution to a vector nonlinear Schrödinger equation JO - J. Phys. A, Math. Theor. VL - 47 UR - https://doi.org/10.1088/1751-8113/47/35/355203 DO - 10.1088/1751-8113/47/35/355203 ID - Feng2014 ER - TY - JOUR AU - Kumar, S. S. AU - Balakrishnan, S. AU - Sahadevan, R. PY - 2017 DA - 2017// TI - Integrability and Lie symmetry analysis of deformed N-coupled nonlinear Schrödinger equations JO - Nonlinear Dyn. VL - 90 UR - https://doi.org/10.1007/s11071-017-3837-y DO - 10.1007/s11071-017-3837-y ID - Kumar2017 ER - TY - JOUR AU - Kanna, T. AU - Lakshmanan, M. AU - Dinda, P. T. AU - Akhmediev, N. PY - 2006 DA - 2006// TI - Soliton collisions with shape change by intensity redistribution in mixed coupled nonlinear Schrödinger equations JO - Phys. Rev. E VL - 73 UR - https://doi.org/10.1103/PhysRevE.73.026604 DO - 10.1103/PhysRevE.73.026604 ID - Kanna2006 ER - TY - JOUR AU - Kalla, C. PY - 2011 DA - 2011// TI - Breathers and solitons of generalized nonlinear Schrödinger equations as degenerations of algebro-geometric solutions JO - J. Phys. A, Math. Theor. VL - 44 UR - https://doi.org/10.1088/1751-8113/44/33/335210 DO - 10.1088/1751-8113/44/33/335210 ID - Kalla2011 ER - TY - BOOK AU - Miller, K. S. AU - Ross, B. PY - 1993 DA - 1993// TI - An Introductions to Fractional Calculus and Fractional Differential Equations PB - Wiley CY - New York ID - Miller1993 ER - TY - JOUR AU - Bakkyaraj, T. AU - Sahadevan, R. PY - 2016 DA - 2016// TI - Approximate analytical solution of two coupled time fractional nonlinear Schrodinger equations JO - Int. J. Appl. Comput. Math. VL - 2 UR - https://doi.org/10.1007/s40819-015-0049-3 DO - 10.1007/s40819-015-0049-3 ID - Bakkyaraj2016 ER - TY - JOUR AU - Baleanu, D. AU - Shiri, B. PY - 2018 DA - 2018// TI - Collocation methods for fractional differential equations involving non-singular kernel JO - Chaos Solitons Fractals VL - 116 UR - https://doi.org/10.1016/j.chaos.2018.09.020 DO - 10.1016/j.chaos.2018.09.020 ID - Baleanu2018 ER - TY - JOUR AU - Zhao, D. Z. AU - Luo, M. K. PY - 2019 DA - 2019// TI - Representations of acting processes and memory effects: general fractional derivative and its application to theory of heat conduction with finite wave speeds JO - Appl. Math. Comput. VL - 346 UR - https://doi.org/10.1016/j.cam.2018.06.040 DO - 10.1016/j.cam.2018.06.040 ID - Zhao2019 ER - TY - JOUR AU - Hashemi, M. S. AU - Inc, M. AU - Akgul, A. PY - 2017 DA - 2017// TI - Analytical treatment of the couple stress fluid-filled thin elastic tubes JO - Optik VL - 145 UR - https://doi.org/10.1016/j.ijleo.2017.05.082 DO - 10.1016/j.ijleo.2017.05.082 ID - Hashemi2017 ER - TY - JOUR AU - Hussain, A. AU - Bano, S. AU - Khan, I. AU - Baleanu, D. AU - Nisar, K. S. PY - 2020 DA - 2020// TI - Lie symmetry analysis, explicit solutions and conservation laws of a spatially two-dimensional Burgers–Huxley equation JO - Symmetry VL - 12 UR - https://doi.org/10.3390/sym12010170 DO - 10.3390/sym12010170 ID - Hussain2020 ER - TY - JOUR AU - Gazizov, R. K. AU - Kasatkin, A. A. AU - Lukashchuk, S. Y. PY - 2007 DA - 2007// TI - Continuous transformation groups of fractional differential equation JO - Vestnik. USATU VL - 93 ID - Gazizov2007 ER - TY - JOUR AU - Inc, M. AU - Yusuf, A. AU - Aliyu, A. I. AU - Baleanu, D. PY - 2018 DA - 2018// TI - Time-fractional Cahn–Allen and time-fractional Klein–Gordon equations: Lie symmetry analysis, explicit solutions and convergence analysis JO - Physica A VL - 493 UR - https://doi.org/10.1016/j.physa.2017.10.010 DO - 10.1016/j.physa.2017.10.010 ID - Inc2018 ER - TY - JOUR AU - Inc, M. AU - Aliyu, A. I. AU - Yusuf, A. PY - 2017 DA - 2017// TI - Solitons and conservation laws to the resonance nonlinear Shrödinger’s equation with both spatio-temporal and inter-modal dispersions JO - Optik VL - 142 UR - https://doi.org/10.1016/j.ijleo.2017.06.010 DO - 10.1016/j.ijleo.2017.06.010 ID - Inc2017 ER - TY - JOUR AU - Tchier, F. AU - Yusuf, A. AU - Aliyu, A. I. AU - Inc, M. PY - 2017 DA - 2017// TI - Soliton solutions and conservation laws for lossy nonlinear transmission line equation JO - Superlattices Microstruct. VL - 107 UR - https://doi.org/10.1016/j.spmi.2017.04.003 DO - 10.1016/j.spmi.2017.04.003 ID - Tchier2017 ER - TY - JOUR AU - Osman, M. S. AU - Baleanu, D. AU - Adem, A. R. AU - Hosseini, K. AU - Mirzazadeh, M. AU - Eslami, M. PY - 2020 DA - 2020// TI - Double-wave solutions and Lie symmetry analysis to the (2 + 1)-dimensional coupled Burgers equations JO - Chin. J. Phys. VL - 63 UR - https://doi.org/10.1016/j.cjph.2019.11.005 DO - 10.1016/j.cjph.2019.11.005 ID - Osman2020 ER - TY - BOOK AU - Kiryakova, V. PY - 1994 DA - 1994// TI - Generalized Fractional Calculus and Applications PB - Longman CY - Harlow ID - Kiryakova1994 ER - TY - BOOK AU - Hilfer, R. PY - 2000 DA - 2000// TI - Applications of Fractional Calculus in Physics PB - World Scientific CY - Singapore UR - https://doi.org/10.1142/3779 DO - 10.1142/3779 ID - Hilfer2000 ER - TY - BOOK AU - Kilbas, A. A. AU - Srivastava, H. M. AU - Trujillo, J. J. PY - 2006 DA - 2006// TI - Theory and Applications of Fractional Differential Equations PB - Elsevier CY - Amsterdam UR - https://doi.org/10.1016/S0304-0208(06)80001-0 DO - 10.1016/S0304-0208(06)80001-0 ID - Kilbas2006 ER - TY - JOUR AU - Kasatkin, A. A. PY - 2012 DA - 2012// TI - Symmetry properties for systems of two ordinary fractional differential equations JO - Ufa Math. J. VL - 4 ID - Kasatkin2012 ER - TY - JOUR AU - Sahadevan, R. AU - Bakkyaraj, T. PY - 2012 DA - 2012// TI - Invariant analysis of time fractional generalized Burgers and Korteweg–de Vries equations JO - J. Math. Anal. Appl. VL - 393 UR - https://doi.org/10.1016/j.jmaa.2012.04.006 DO - 10.1016/j.jmaa.2012.04.006 ID - Sahadevan2012 ER - TY - JOUR AU - Wang, G. W. AU - Liu, X. Q. AU - Hang, Y. Y. PY - 2013 DA - 2013// TI - Lie symmetry analysis of the time fractional generalized fifth order KdV equation JO - Commun. Nonlinear Sci. Numer. Simul. VL - 18 UR - https://doi.org/10.1016/j.cnsns.2012.11.032 DO - 10.1016/j.cnsns.2012.11.032 ID - Wang2013 ER - TY - JOUR AU - Hashemi, M. S. AU - Haji-Badali, A. AU - Vafadar, P. PY - 2014 DA - 2014// TI - Group invariant solutions and conservation laws of the Fornberg–Whitham equation JO - Z. Naturforsch. A VL - 69 UR - https://doi.org/10.5560/zna.2014-0037 DO - 10.5560/zna.2014-0037 ID - Hashemi2014 ER - TY - JOUR AU - Huang, Q. AU - Zhdanov, R. PY - 2014 DA - 2014// TI - Symmetries and exact solutions of the time fractional Harry–Dym equation with Riemann–Liouville derivative JO - Physica A VL - 409 UR - https://doi.org/10.1016/j.physa.2014.04.043 DO - 10.1016/j.physa.2014.04.043 ID - Huang2014 ER - TY - JOUR AU - Hashemi, M. S. PY - 2015 DA - 2015// TI - Group analysis and exact solutions of the time fractional Fokker–Planck equation JO - Physica A VL - 417 UR - https://doi.org/10.1016/j.physa.2014.09.043 DO - 10.1016/j.physa.2014.09.043 ID - Hashemi2015 ER - TY - JOUR AU - Kinani, E. H. AU - Ouhadan, A. PY - 2015 DA - 2015// TI - Lie symmetry analysis of some time fractional partial differential equations JO - Int. J. Mod. Phys. Conf. Ser. VL - 38 UR - https://doi.org/10.1142/S2010194515600757 DO - 10.1142/S2010194515600757 ID - Kinani2015 ER - TY - JOUR AU - Singla, K. AU - Gupta, R. K. PY - 2016 DA - 2016// TI - On invariant analysis of some time fractional nonlinear systems of partial differential equations JO - J. Math. Phys. UR - https://doi.org/10.1063/1.4964937 DO - 10.1063/1.4964937 ID - Singla2016 ER - TY - JOUR AU - Singla, K. AU - Gupta, R. K. PY - 2017 DA - 2017// TI - Generalized Lie symmetry approach for fractional order systems of differential equations JO - J. Math. Phys. UR - https://doi.org/10.1063/1.4984307 DO - 10.1063/1.4984307 ID - Singla2017 ER - TY - JOUR AU - Sahadevan, R. AU - Prakash, P. PY - 2017 DA - 2017// TI - On Lie symmetry analysis and invariant subspace methods of coupled time fractional partial differential equations JO - Chaos Solitons Fractals VL - 104 UR - https://doi.org/10.1016/j.chaos.2017.07.019 DO - 10.1016/j.chaos.2017.07.019 ID - Sahadevan2017 ER - TY - JOUR AU - Yusuf, A. AU - Inc, M. AU - Aliyu, A. I. AU - Baleanu, D. PY - 2018 DA - 2018// TI - Conservation laws, soliton-like and stability analysis for the time fractional dispersive long-wave equation JO - Adv. Differ. Equ. VL - 2018 UR - https://doi.org/10.1186/s13662-018-1780-y DO - 10.1186/s13662-018-1780-y ID - Yusuf2018 ER - TY - JOUR AU - Baleanu, D. AU - Inc, M. AU - Yusuf, A. AU - Aliyu, A. I. PY - 2018 DA - 2018// TI - Lie symmetry analysis, exact solutions and conservation laws for the time fractional Caudrey–Dodd–Gibbon–Sawada–Kotera equation JO - Commun. Nonlinear Sci. Numer. Simul. VL - 59 UR - https://doi.org/10.1016/j.cnsns.2017.11.015 DO - 10.1016/j.cnsns.2017.11.015 ID - Baleanu2018 ER -