TY - JOUR AU - Zhao, B. J. AU - Wang, R. Y. AU - Sun, W. J. AU - Yang, H. W. PY - 2018 DA - 2018// TI - Combined ZK-mZK equation for Rossby solitary waves with complete Coriolis force and its conservation laws as well as exact solutions JO - Adv. Differ. Equ. VL - 2018 UR - https://doi.org/10.1186/s13662-018-1492-3 DO - 10.1186/s13662-018-1492-3 ID - Zhao2018 ER - TY - JOUR AU - Zhang, R. G. AU - Yang, L. G. AU - Song, J. AU - Yang, H. L. PY - 2017 DA - 2017// TI - (2+1$2+1$)-dimensional Rossby waves with complete Coriolis force and its solution by homotopy perturbation method JO - Comput. Math. Appl. VL - 73 UR - https://doi.org/10.1016/j.camwa.2017.02.036 DO - 10.1016/j.camwa.2017.02.036 ID - Zhang2017 ER - TY - JOUR AU - Lu, C. N. AU - Fu, C. AU - Yang, H. W. PY - 2018 DA - 2018// TI - Time-fractional generalized Boussinesq equation for Rossby solitary waves with dissipation effect in stratified fluid and conservation laws as well as exact solutions JO - Appl. Math. Comput. VL - 327 ID - Lu2018 ER - TY - JOUR AU - Yang, H. W. AU - Xu, Z. H. AU - Yang, D. Z. AU - Feng, X. R. AU - Yin, B. S. AU - Dong, H. H. PY - 2016 DA - 2016// TI - ZK-Burgers equation for three-dimensional Rossby solitary waves and its solutions as well as chirp effect JO - Adv. Differ. Equ. VL - 2016 UR - https://doi.org/10.1186/s13662-016-0901-8 DO - 10.1186/s13662-016-0901-8 ID - Yang2016 ER - TY - JOUR AU - Guo, M. AU - Zhang, Y. AU - Wang, M. AU - Chen, Y. D. AU - Yang, H. W. PY - 2018 DA - 2018// TI - A new ZK-ILW equation for algebraic gravity solitary waves in finite depth stratified atmosphere and the research of squall lines formation mechanism JO - Comput. Math. Appl. VL - 75 ID - Guo2018 ER - TY - JOUR AU - Fu, C. AU - Lu, C. N. AU - Yang, H. W. PY - 2018 DA - 2018// TI - Time-space fractional (2+1$2+1$)-dimensional nonlinear Schrödinger equation for envelope gravity waves in baroclinic atmosphere and conservation laws as well as exact solutions JO - Adv. Differ. Equ. VL - 2018 UR - https://doi.org/10.1186/s13662-018-1512-3 DO - 10.1186/s13662-018-1512-3 ID - Fu2018 ER - TY - JOUR AU - Haurwitz, B. PY - 1940 DA - 1940// TI - The motion of atmospheric disturbances on the spherical Earth JO - J. Mar. Res. VL - 3 ID - Haurwitz1940 ER - TY - JOUR AU - Yong, X. L. AU - Ma, W. X. AU - Huang, Y. H. AU - Liu, Y. PY - 2018 DA - 2018// TI - Lump solutions to the Kadomtsev–Petviashvili I equation with a self-consistent source JO - Comput. Math. Appl. VL - 75 UR - https://doi.org/10.1016/j.camwa.2018.02.007 DO - 10.1016/j.camwa.2018.02.007 ID - Yong2018 ER - TY - JOUR AU - Yang, X. J. AU - Gao, F. AU - Srivastava, H. M. PY - 2017 DA - 2017// TI - Exact travelling wave solutions for the local fractional two-dimensional Burgers-type equations JO - Comput. Math. Appl. VL - 73 UR - https://doi.org/10.1016/j.camwa.2016.11.012 DO - 10.1016/j.camwa.2016.11.012 ID - Yang2017 ER - TY - JOUR AU - Guo, M. AU - Fu, C. AU - Zhang, Y. AU - Liu, J. X. AU - Yang, H. W. PY - 2018 DA - 2018// TI - Study of ion-acoustic solitary waves in a magnetized plasma using the three-dimensional time-space fractional Schamel-KdV equation JO - Complexity VL - 2018 ID - Guo2018 ER - TY - JOUR AU - Yang, X. J. AU - Gao, F. AU - Srivastava, H. M. PY - 2018 DA - 2018// TI - A new computational approach for solving nonlinear local fractional PDEs JO - J. Comput. Appl. Math. VL - 339 UR - https://doi.org/10.1016/j.cam.2017.10.007 DO - 10.1016/j.cam.2017.10.007 ID - Yang2018 ER - TY - JOUR AU - Zhao, H. Q. AU - Ma, W. X. PY - 2017 DA - 2017// TI - Mixed lump-kink solutions to the KP equation JO - Comput. Math. Appl. VL - 74 UR - https://doi.org/10.1016/j.camwa.2017.06.034 DO - 10.1016/j.camwa.2017.06.034 ID - Zhao2017 ER - TY - JOUR AU - Zhang, J. B. AU - Ma, W. X. PY - 2017 DA - 2017// TI - Mixed lump-kink solutions to the BKP equation JO - Comput. Math. Appl. VL - 74 UR - https://doi.org/10.1016/j.camwa.2017.05.010 DO - 10.1016/j.camwa.2017.05.010 ID - Zhang2017 ER - TY - JOUR AU - Tao, M. S. AU - Dong, H. H. PY - 2017 DA - 2017// TI - Algebro-geometric solutions for a discrete integrable equation JO - Discrete Dyn. Nat. Soc. VL - 2017 UR - https://doi.org/10.1155/2017/5258375 DO - 10.1155/2017/5258375 ID - Tao2017 ER - TY - JOUR AU - Ma, W. X. AU - Zhou, Y. PY - 2018 DA - 2018// TI - Lump solutions to nonlinear partial differential equations via Hirota bilinear forms JO - J. Differ. Equ. VL - 264 UR - https://doi.org/10.1016/j.jde.2017.10.033 DO - 10.1016/j.jde.2017.10.033 ID - Ma2018 ER - TY - JOUR AU - Xu, X. X. PY - 2015 DA - 2015// TI - A deformed reduced semi-discrete Kaup–Newell equation, the related integrable family and Darboux transformation JO - Appl. Math. Comput. VL - 251 ID - Xu2015 ER - TY - JOUR AU - Li, X. Y. AU - Zhao, Q. L. AU - Li, Y. X. AU - Dong, H. H. PY - 2015 DA - 2015// TI - Binary Bargmann symmetry constraint associated with 3 × 3 discrete matrix spectral problem JO - J. Nonlinear Sci. Appl. VL - 8 UR - https://doi.org/10.22436/jnsa.008.05.05 DO - 10.22436/jnsa.008.05.05 ID - Li2015 ER - TY - JOUR AU - Bai, Z. B. AU - Zhang, S. AU - Sun, S. J. AU - Yin, C. PY - 2016 DA - 2016// TI - Monotone iterative method for fractional differential equations JO - Electron. J. Differ. Equ. VL - 2016 UR - https://doi.org/10.1186/s13662-015-0739-5 DO - 10.1186/s13662-015-0739-5 ID - Bai2016 ER - TY - JOUR AU - Gu, X. AU - Ma, W. X. AU - Zhang, W. Y. PY - 2017 DA - 2017// TI - Two integrable Hamiltonian hierarchies in sl(2,R)$\mathrm{sl}(2,R)$ and so(3,R)$\mathrm{so}(3,R)$ with three potentials JO - Appl. Math. Comput. VL - 14 ID - Gu2017 ER - TY - JOUR AU - Wang, H. AU - Wang, Y. H. AU - Dong, H. H. PY - 2018 DA - 2018// TI - Interaction solutions of a (2+1$2+1$)-dimensional dispersive long wave system JO - Comput. Math. Appl. VL - 75 UR - https://doi.org/10.1016/j.camwa.2017.12.032 DO - 10.1016/j.camwa.2017.12.032 ID - Wang2018 ER - TY - JOUR AU - Ma, W. X. AU - Yong, X. L. AU - Zhang, H. Q. PY - 2018 DA - 2018// TI - Diversity of interaction solutions to the (2+1$2+1$)-dimensional ito equation JO - Comput. Math. Appl. VL - 75 UR - https://doi.org/10.1016/j.camwa.2017.09.013 DO - 10.1016/j.camwa.2017.09.013 ID - Ma2018 ER - TY - JOUR AU - Feng, B. F. AU - Maruno, K. AU - Ohta, Y. PY - 2017 DA - 2017// TI - A two-component generalization of the reduced Ostrovsky equation and its integrable semi-discrete analogue JO - J. Phys. A, Math. Theor. VL - 50 UR - https://doi.org/10.1088/1751-8121/50/5/055201 DO - 10.1088/1751-8121/50/5/055201 ID - Feng2017 ER - TY - JOUR AU - McAnally, M. AU - Ma, W. X. PY - 2018 DA - 2018// TI - An integrable generalization of the D-Kaup–Newell soliton hierarchy and its bi-Hamiltonian reduced hierarchy JO - Appl. Math. Comput. VL - 323 ID - McAnally2018 ER - TY - JOUR AU - Huang, F. AU - Lou, S. Y. PY - 2004 DA - 2004// TI - Analytical investigation of Rossby waves in atmospheric dynamics JO - Phys. Lett. A VL - 320 UR - https://doi.org/10.1016/j.physleta.2003.11.056 DO - 10.1016/j.physleta.2003.11.056 ID - Huang2004 ER - TY - JOUR AU - Kudryavtsev, A. G. AU - Myagkov, N. N. PY - 2011 DA - 2011// TI - Symmetry group application for the (3+1$3+1$)-dimensional Rossby waves JO - Phys. Lett. A VL - 375 UR - https://doi.org/10.1016/j.physleta.2010.11.040 DO - 10.1016/j.physleta.2010.11.040 ID - Kudryavtsev2011 ER - TY - JOUR AU - Chao, J. P. AU - Huang, R. X. PY - 1980 DA - 1980// TI - The cnoidal waves of rotating barotropic atmosphere JO - Sci. Sin. VL - 23 ID - Chao1980 ER - TY - BOOK AU - Olver, P. PY - 1986 DA - 1986// TI - Applications of Lie Groups to Differential Equations PB - Springer CY - Berlin UR - https://doi.org/10.1007/978-1-4684-0274-2 DO - 10.1007/978-1-4684-0274-2 ID - Olver1986 ER -