Qin, Chun-Yan; Tian, Shou-Fu; Zou, Li; Ma, Wen-Xiu Solitary wave and quasi-periodic wave solutions to a (3+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation. (English) Zbl 1488.35466 Adv. Appl. Math. Mech. 10, No. 4, 948-977 (2018). MSC: 35Q51 35Q53 35C99 68W30 74J35 PDFBibTeX XMLCite \textit{C.-Y. Qin} et al., Adv. Appl. Math. Mech. 10, No. 4, 948--977 (2018; Zbl 1488.35466) Full Text: DOI
Qin, Chun-Yan; Tian, Shou-Fu; Wang, Xiu-Bin; Zhang, Tian-Tian On breather waves, rogue waves and solitary waves to a generalized (2+1)-dimensional Camassa-Holm-Kadomtsev-Petviashvili equation. (English) Zbl 1470.35124 Commun. Nonlinear Sci. Numer. Simul. 62, 378-385 (2018). MSC: 35C08 35Q53 PDFBibTeX XMLCite \textit{C.-Y. Qin} et al., Commun. Nonlinear Sci. Numer. Simul. 62, 378--385 (2018; Zbl 1470.35124) Full Text: DOI
Wei, Jingdong; Zhen, Zaili; Chen, Wenxia; Tian, Lixin Nonexistence of pure multi-solitons for the quartic gBBM equation. (English) Zbl 1524.35560 Commun. Nonlinear Sci. Numer. Simul. 55, 1-15 (2018). MSC: 35Q53 35C10 35B35 35B40 PDFBibTeX XMLCite \textit{J. Wei} et al., Commun. Nonlinear Sci. Numer. Simul. 55, 1--15 (2018; Zbl 1524.35560) Full Text: DOI
Martel, Yvan Interaction of solitons from the PDE point of view. (English) Zbl 1447.35007 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume III. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 2439-2466 (2018). MSC: 35-02 35C08 35B40 37K40 35Q51 35Q53 35Q55 35L71 PDFBibTeX XMLCite \textit{Y. Martel}, in: Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume III. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 2439--2466 (2018; Zbl 1447.35007) Full Text: DOI Link
Batwa, Sumayah; Ma, Wen-Xiu A study of lump-type and interaction solutions to a (3+1)-dimensional Jimbo-Miwa-like equation. (English) Zbl 1434.35147 Comput. Math. Appl. 76, No. 7, 1576-1582 (2018). MSC: 35Q53 35C08 35Q51 68W30 PDFBibTeX XMLCite \textit{S. Batwa} and \textit{W.-X. Ma}, Comput. Math. Appl. 76, No. 7, 1576--1582 (2018; Zbl 1434.35147) Full Text: DOI
Huang, Lili; Yue, Yunfei; Chen, Yong Localized waves and interaction solutions to a \((3+1)\)-dimensional generalized KP equation. (English) Zbl 1428.35451 Comput. Math. Appl. 76, No. 4, 831-844 (2018). MSC: 35Q53 35C08 PDFBibTeX XMLCite \textit{L. Huang} et al., Comput. Math. Appl. 76, No. 4, 831--844 (2018; Zbl 1428.35451) Full Text: DOI
Ge, Jiahui; Ren, Yingrong; Zhang, Li’na A generalized \(K(2,2)\) equation with compactons. (Chinese. English summary) Zbl 1438.35355 Commun. Appl. Math. Comput. 32, No. 4, 1011-1016 (2018). MSC: 35Q53 35C05 35C08 PDFBibTeX XMLCite \textit{J. Ge} et al., Commun. Appl. Math. Comput. 32, No. 4, 1011--1016 (2018; Zbl 1438.35355) Full Text: DOI
Xu, Hongmei; Yang, Xiaoyan Global existence and temporal decay estimate to the generalized BBM-Burgers equation with dissipative term. (English) Zbl 1438.35377 Wuhan Univ. J. Nat. Sci. 23, No. 6, 475-479 (2018). MSC: 35Q53 35A01 PDFBibTeX XMLCite \textit{H. Xu} and \textit{X. Yang}, Wuhan Univ. J. Nat. Sci. 23, No. 6, 475--479 (2018; Zbl 1438.35377) Full Text: DOI
Chen, Jing; Wang, Yuanyuan; Li, Ji’na The initial boundary value problem for the viscous generalized Novikov equation. (English) Zbl 1438.35347 Math. Appl. 31, No. 4, 967-973 (2018). MSC: 35Q53 35D30 35A01 35A02 35A35 PDFBibTeX XMLCite \textit{J. Chen} et al., Math. Appl. 31, No. 4, 967--973 (2018; Zbl 1438.35347)
Sha, An; Li, Lianzhong Bäcklund transformation, Painlevé test and exact solutions for a generalized variable coefficient mKdV equation. (English) Zbl 1438.35368 Math. Appl. 31, No. 4, 890-897 (2018). MSC: 35Q53 37K10 37K35 35A30 PDFBibTeX XMLCite \textit{A. Sha} and \textit{L. Li}, Math. Appl. 31, No. 4, 890--897 (2018; Zbl 1438.35368)
Osman, M. S. On multi-soliton solutions for the \((2+1)\)-dimensional breaking soliton equation with variable coefficients in a graded-index waveguide. (English) Zbl 1418.35328 Comput. Math. Appl. 75, No. 1, 1-6 (2018). MSC: 35Q53 35C08 PDFBibTeX XMLCite \textit{M. S. Osman}, Comput. Math. Appl. 75, No. 1, 1--6 (2018; Zbl 1418.35328) Full Text: DOI
Li, Rui; Lai, Chong; Wu, Yonghong Global weak solutions to a generalized Benjamin-Bona-Mahony-Burgers equation. (English) Zbl 1438.35362 Acta Math. Sci., Ser. B, Engl. Ed. 38, No. 3, 915-925 (2018). MSC: 35Q53 35D30 PDFBibTeX XMLCite \textit{R. Li} et al., Acta Math. Sci., Ser. B, Engl. Ed. 38, No. 3, 915--925 (2018; Zbl 1438.35362) Full Text: DOI
Wazwaz, Abdul-Majid; Osman, M. S. Analyzing the combined multi-waves polynomial solutions in a two-layer-liquid medium. (English) Zbl 1420.35331 Comput. Math. Appl. 76, No. 2, 276-283 (2018). MSC: 35Q53 76B25 35C08 35B10 68W30 PDFBibTeX XMLCite \textit{A.-M. Wazwaz} and \textit{M. S. Osman}, Comput. Math. Appl. 76, No. 2, 276--283 (2018; Zbl 1420.35331) Full Text: DOI
Yan, Xue-Wei; Tian, Shou-Fu; Dong, Min-Jie; Zhou, Li; Zhang, Tian-Tian Characteristics of solitary wave, homoclinic breather wave and rogue wave solutions in a (2+1)-dimensional generalized breaking soliton equation. (English) Zbl 1420.35301 Comput. Math. Appl. 76, No. 1, 179-186 (2018). MSC: 35Q51 35C08 35Q53 PDFBibTeX XMLCite \textit{X.-W. Yan} et al., Comput. Math. Appl. 76, No. 1, 179--186 (2018; Zbl 1420.35301) Full Text: DOI
Meng, Xiang-Hua Rational solutions in Grammian form for the \((3+1)\)-dimensional generalized shallow water wave equation. (English) Zbl 1420.35255 Comput. Math. Appl. 75, No. 12, 4534-4539 (2018). MSC: 35Q35 35Q53 35C05 35C08 76B15 PDFBibTeX XMLCite \textit{X.-H. Meng}, Comput. Math. Appl. 75, No. 12, 4534--4539 (2018; Zbl 1420.35255) Full Text: DOI
Qin, Chun-Yan; Tian, Shou-Fu; Wang, Xiu-Bin; Zhang, Tian-Tian; Li, Jin Rogue waves, bright-dark solitons and traveling wave solutions of the \((3+1)\)-dimensional generalized Kadomtsev-Petviashvili equation. (English) Zbl 1420.35323 Comput. Math. Appl. 75, No. 12, 4221-4231 (2018). MSC: 35Q53 35C08 35C07 PDFBibTeX XMLCite \textit{C.-Y. Qin} et al., Comput. Math. Appl. 75, No. 12, 4221--4231 (2018; Zbl 1420.35323) Full Text: DOI
Lu, Changna; Fu, Chen; Yang, Hongwei Time-fractional generalized Boussinesq equation for Rossby solitary waves with dissipation effect in stratified fluid and conservation laws as well as exact solutions. (English) Zbl 1426.76721 Appl. Math. Comput. 327, 104-116 (2018). MSC: 76U65 35Q53 35C08 35Q35 35Q86 35R11 86A05 86A10 PDFBibTeX XMLCite \textit{C. Lu} et al., Appl. Math. Comput. 327, 104--116 (2018; Zbl 1426.76721) Full Text: DOI
Osman, M. S.; Wazwaz, Abdul-Majid An efficient algorithm to construct multi-soliton rational solutions of the \((2+ 1)\)-dimensional KdV equation with variable coefficients. (English) Zbl 1426.35204 Appl. Math. Comput. 321, 282-289 (2018). MSC: 35Q53 35C08 35Q51 PDFBibTeX XMLCite \textit{M. S. Osman} and \textit{A.-M. Wazwaz}, Appl. Math. Comput. 321, 282--289 (2018; Zbl 1426.35204) Full Text: DOI
Hajiketabi, M.; Abbasbandy, S.; Casas, F. The Lie-group method based on radial basis functions for solving nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation in arbitrary domains. (English) Zbl 1427.65286 Appl. Math. Comput. 321, 223-243 (2018). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{M. Hajiketabi} et al., Appl. Math. Comput. 321, 223--243 (2018; Zbl 1427.65286) Full Text: DOI
Az-Zo’bi, Emad A. Analytic treatment for generalized \((m+1)\)-dimensional partial differential equations. (English) Zbl 1412.35297 J. Korean Soc. Ind. Appl. Math. 22, No. 4, 289-294 (2018). MSC: 35Q53 65D15 35C10 35C05 PDFBibTeX XMLCite \textit{E. A. Az-Zo'bi}, J. Korean Soc. Ind. Appl. Math. 22, No. 4, 289--294 (2018; Zbl 1412.35297)
Blázquez-Sanz, D.; Conde Martín, J. M. Symmetry reduction and soliton-like solutions for the generalized Korteweg-de Vries equation. (English) Zbl 1417.35162 Lobachevskii J. Math. 39, No. 9, 1305-1314 (2018). Reviewer: Piotr Biler (Wrocław) MSC: 35Q53 35A30 35C08 17B81 PDFBibTeX XMLCite \textit{D. Blázquez-Sanz} and \textit{J. M. Conde Martín}, Lobachevskii J. Math. 39, No. 9, 1305--1314 (2018; Zbl 1417.35162) Full Text: DOI arXiv
Tu, Xi; Qiu, Meiqing; Lu, Xiaochuan; Lai, Chengdong; Wu, Aixia The traveling wave solution for a generalized Camassa-Holm equation. (Chinese. English summary) Zbl 1424.35097 Acta Sci. Nat. Univ. Sunyatseni 57, No. 3, 70-75 (2018). MSC: 35C07 35Q53 PDFBibTeX XMLCite \textit{X. Tu} et al., Acta Sci. Nat. Univ. Sunyatseni 57, No. 3, 70--75 (2018; Zbl 1424.35097) Full Text: DOI
Xu, Pengbo; Deng, Weihua Fractional compound Poisson processes with multiple internal states. (English) Zbl 1405.35189 Math. Model. Nat. Phenom. 13, No. 1, Paper No. 10, 22 p. (2018). MSC: 35Q53 34B20 35G31 PDFBibTeX XMLCite \textit{P. Xu} and \textit{W. Deng}, Math. Model. Nat. Phenom. 13, No. 1, Paper No. 10, 22 p. (2018; Zbl 1405.35189) Full Text: DOI arXiv
Osman, M. S.; Machado, J. A. T. New nonautonomous combined multi-wave solutions for \((2+1)\)-dimensional variable coefficients KdV equation. (English) Zbl 1398.35102 Nonlinear Dyn. 93, No. 2, 733-740 (2018). MSC: 35K10 35Q53 35C08 PDFBibTeX XMLCite \textit{M. S. Osman} and \textit{J. A. T. Machado}, Nonlinear Dyn. 93, No. 2, 733--740 (2018; Zbl 1398.35102) Full Text: DOI
Li, Lingfei; Xie, Yingying; Zhu, Shihui New exact solutions for a generalized KdV equation. (English) Zbl 1398.35201 Nonlinear Dyn. 92, No. 2, 215-219 (2018). MSC: 35Q53 37K10 35C08 PDFBibTeX XMLCite \textit{L. Li} et al., Nonlinear Dyn. 92, No. 2, 215--219 (2018; Zbl 1398.35201) Full Text: DOI
Liu, Qiang; Li, Chun; Zhang, Lixin; Liu, Zhixin; Ma, Wei Qualitative analysis of traveling wave solutions to generalized Whitham-Broer-Kaup equation with dissipation term. (Chinese. English summary) Zbl 1413.35120 Math. Pract. Theory 48, No. 2, 237-243 (2018). MSC: 35C07 35Q53 PDFBibTeX XMLCite \textit{Q. Liu} et al., Math. Pract. Theory 48, No. 2, 237--243 (2018; Zbl 1413.35120)
Zhang, Zaiyun; Liu, Zhenhai; Sun, Mingbao; Li, Songhua Well-posedness and unique continuation property for the solutions to the generalized Kawahara equation below the energy space. (English) Zbl 1454.35330 Appl. Anal. 97, No. 15, 2655-2685 (2018). MSC: 35Q53 35B30 35B60 PDFBibTeX XMLCite \textit{Z. Zhang} et al., Appl. Anal. 97, No. 15, 2655--2685 (2018; Zbl 1454.35330) Full Text: DOI
Asokan, R.; Vinodh, D. Soliton and exact solutions for the KdV-BBM type equations by tanh-coth and transformed rational function methods. (English) Zbl 1402.35238 Int. J. Appl. Comput. Math. 4, No. 4, Paper No. 100, 20 p. (2018). MSC: 35Q53 35Q51 35C08 35C07 35B10 37K10 PDFBibTeX XMLCite \textit{R. Asokan} and \textit{D. Vinodh}, Int. J. Appl. Comput. Math. 4, No. 4, Paper No. 100, 20 p. (2018; Zbl 1402.35238) Full Text: DOI
Yang, Meiling; Li, Yongsheng; Zhao, Yongye On the Cauchy problem of generalized Fokas-Olver-Rosenau-Qiao equation. (English) Zbl 1403.35268 Appl. Anal. 97, No. 13, 2246-2268 (2018). MSC: 35Q53 35G25 35A01 35B44 42B25 PDFBibTeX XMLCite \textit{M. Yang} et al., Appl. Anal. 97, No. 13, 2246--2268 (2018; Zbl 1403.35268) Full Text: DOI
Millet, Annie; Roudenko, Svetlana Generalized KdV equation subject to a stochastic perturbation. (English) Zbl 1395.60073 Discrete Contin. Dyn. Syst., Ser. B 23, No. 3, 1177-1198 (2018). MSC: 60H15 35R60 35Q53 35L75 37K10 PDFBibTeX XMLCite \textit{A. Millet} and \textit{S. Roudenko}, Discrete Contin. Dyn. Syst., Ser. B 23, No. 3, 1177--1198 (2018; Zbl 1395.60073) Full Text: DOI arXiv
Yang, Li; Rong, Zeng; Zhou, Shouming; Mu, Chunlai Uniqueness of conservative solutions to the generalized Camassa-Holm equation via characteristics. (English) Zbl 1393.35213 Discrete Contin. Dyn. Syst. 38, No. 10, 5205-5220 (2018). MSC: 35Q53 PDFBibTeX XMLCite \textit{L. Yang} et al., Discrete Contin. Dyn. Syst. 38, No. 10, 5205--5220 (2018; Zbl 1393.35213) Full Text: DOI
Muñoz, Claudio; Poblete, Felipe; Pozo, Juan C. Scattering in the energy space for Boussinesq equations. (English) Zbl 1398.35203 Commun. Math. Phys. 361, No. 1, 127-141 (2018). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q53 35Q35 35P25 PDFBibTeX XMLCite \textit{C. Muñoz} et al., Commun. Math. Phys. 361, No. 1, 127--141 (2018; Zbl 1398.35203) Full Text: DOI arXiv
Motsepa, Tanki; Abudiab, Mufid; Masood Khalique, Chaudry A study of an extended generalized \((2+1)\)-dimensional Jaulent-Miodek equation. (English) Zbl 1401.35011 Int. J. Nonlinear Sci. Numer. Simul. 19, No. 3-4, 391-395 (2018). MSC: 35C05 35Q53 70S05 PDFBibTeX XMLCite \textit{T. Motsepa} et al., Int. J. Nonlinear Sci. Numer. Simul. 19, No. 3--4, 391--395 (2018; Zbl 1401.35011) Full Text: DOI
Combet, Vianney; Martel, Yvan Construction of multibubble solutions for the critical gKdV equation. (English) Zbl 1397.35249 SIAM J. Math. Anal. 50, No. 4, 3715-3790 (2018). Reviewer: Piotr Biler (Wrocław) MSC: 35Q53 35B44 35B40 PDFBibTeX XMLCite \textit{V. Combet} and \textit{Y. Martel}, SIAM J. Math. Anal. 50, No. 4, 3715--3790 (2018; Zbl 1397.35249) Full Text: DOI arXiv
Masaki, Satoshi; Segata, Jun-Ichi Refinement of Strichartz estimates for Airy equation in nondiagonal case and its application. (English) Zbl 1392.35265 SIAM J. Math. Anal. 50, No. 3, 2839-2866 (2018). MSC: 35Q53 35B40 35P25 PDFBibTeX XMLCite \textit{S. Masaki} and \textit{J.-I. Segata}, SIAM J. Math. Anal. 50, No. 3, 2839--2866 (2018; Zbl 1392.35265) Full Text: DOI arXiv
Catuogno, P.; Colombeau, J. F.; Olivera, C. Generalized solutions of the multidimensional stochastic Burgers equation. (English) Zbl 1396.60072 J. Math. Anal. Appl. 464, No. 2, 1375-1382 (2018). MSC: 60H15 35R60 35Q53 PDFBibTeX XMLCite \textit{P. Catuogno} et al., J. Math. Anal. Appl. 464, No. 2, 1375--1382 (2018; Zbl 1396.60072) Full Text: DOI arXiv
Singh, Brajesh Kumar; Kumar, Pramod Homotopy perturbation transform method for solving fractional partial differential equations with proportional delay. (English) Zbl 1456.65138 S\(\vec{\text{e}}\)MA J. 75, No. 1, 111-125 (2018). MSC: 65M99 65M12 35R11 65H20 44A10 35Q53 PDFBibTeX XMLCite \textit{B. K. Singh} and \textit{P. Kumar}, S\(\vec{\text{e}}\)MA J. 75, No. 1, 111--125 (2018; Zbl 1456.65138) Full Text: DOI arXiv
Masaki, Satoshi; Segata, Jun-ichi Existence of a minimal non-scattering solution to the mass-subcritical generalized Korteweg-de Vries equation. (English) Zbl 1383.35196 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 2, 283-326 (2018). MSC: 35Q53 35B40 35B30 35Q55 35P25 PDFBibTeX XMLCite \textit{S. Masaki} and \textit{J.-i. Segata}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 2, 283--326 (2018; Zbl 1383.35196) Full Text: DOI arXiv
Lin, Fu-Hong; Chen, Shou-Ting; Qu, Qi-Xing; Wang, Jian-Ping; Zhou, Xian-Wei; Lü, Xing Resonant multiple wave solutions to a new \((3+1)\)-dimensional generalized Kadomtsev-Petviashvili equation: linear superposition principle. (English) Zbl 1383.35193 Appl. Math. Lett. 78, 112-117 (2018). MSC: 35Q53 PDFBibTeX XMLCite \textit{F.-H. Lin} et al., Appl. Math. Lett. 78, 112--117 (2018; Zbl 1383.35193) Full Text: DOI
Lyu, Pin; Vong, Seakweng A linearized second-order finite difference scheme for time fractional generalized BBM equation. (English) Zbl 1385.65051 Appl. Math. Lett. 78, 16-23 (2018). MSC: 65M06 35Q53 35R11 65M12 PDFBibTeX XMLCite \textit{P. Lyu} and \textit{S. Vong}, Appl. Math. Lett. 78, 16--23 (2018; Zbl 1385.65051) Full Text: DOI
Anco, Stephen; Rosa, María; Gandarias, Maria Luz Conservation laws and symmetries of time-dependent generalized KdV equations. (English) Zbl 1383.37056 Discrete Contin. Dyn. Syst., Ser. S 11, No. 4, 607-615 (2018). Reviewer: Jean-Claude Ndogmo (Thohoyandou) MSC: 37K05 76M60 35Q53 PDFBibTeX XMLCite \textit{S. Anco} et al., Discrete Contin. Dyn. Syst., Ser. S 11, No. 4, 607--615 (2018; Zbl 1383.37056) Full Text: DOI arXiv
Wang, Mingliang; Li, Xiangzheng; Zhang, Jinliang Two-soliton solution to a generalized KP equation with general variable coefficients. (English) Zbl 1524.35559 Appl. Math. Lett. 76, 21-27 (2018). MSC: 35Q53 37K35 37K10 35A22 76B15 PDFBibTeX XMLCite \textit{M. Wang} et al., Appl. Math. Lett. 76, 21--27 (2018; Zbl 1524.35559) Full Text: DOI
Luo, Xue Spectral viscosity method with generalized Hermite functions for nonlinear conservation laws. (English) Zbl 1377.65135 Appl. Numer. Math. 123, 256-274 (2018). MSC: 65M70 35L65 35Q53 65M12 PDFBibTeX XMLCite \textit{X. Luo}, Appl. Numer. Math. 123, 256--274 (2018; Zbl 1377.65135) Full Text: DOI arXiv