Irshad, Amna; Ahmed, Naveed; Nazir, Aqsa; Khan, Umar; Mohyud-Din, Syed Tauseef Novel exact double periodic soliton solutions to strain wave equation in micro structured solids. (English) Zbl 07526341 Physica A 550, Article ID 124077, 15 p. (2020). MSC: 82-XX PDFBibTeX XMLCite \textit{A. Irshad} et al., Physica A 550, Article ID 124077, 15 p. (2020; Zbl 07526341) Full Text: DOI
Lin, Chenglong; Liang, Zongqi; Du, Ruilian New multi-stage envelope periodic solutions for a class of nonlinear Schrödinger equation with wave operator. (Chinese. English summary) Zbl 1424.35031 Appl. Math., Ser. A (Chin. Ed.) 33, No. 2, 211-222 (2018). MSC: 35B10 35C99 35Q55 PDFBibTeX XMLCite \textit{C. Lin} et al., Appl. Math., Ser. A (Chin. Ed.) 33, No. 2, 211--222 (2018; Zbl 1424.35031)
Rozmej, Piotr; Karczewska, Anna New exact superposition solutions to KdV2 equation. (English) Zbl 1406.35298 Adv. Math. Phys. 2018, Article ID 5095482, 9 p. (2018). MSC: 35Q35 76B25 35B10 33E05 35L05 PDFBibTeX XMLCite \textit{P. Rozmej} and \textit{A. Karczewska}, Adv. Math. Phys. 2018, Article ID 5095482, 9 p. (2018; Zbl 1406.35298) Full Text: DOI arXiv
Ma, Yu-Lan; Li, Bang-Qing; Fu, Ying-Ying A series of the solutions for the Heisenberg ferromagnetic spin chain equation. (English) Zbl 1394.35507 Math. Methods Appl. Sci. 41, No. 9, 3316-3322 (2018). MSC: 35Q82 34C25 35C07 35C08 33E05 33F10 82D40 68W30 PDFBibTeX XMLCite \textit{Y.-L. Ma} et al., Math. Methods Appl. Sci. 41, No. 9, 3316--3322 (2018; Zbl 1394.35507) Full Text: DOI
Feng, Qinghua; Meng, Fanwei Traveling wave solutions for fractional partial differential equations arising in mathematical physics by an improved fractional Jacobi elliptic equation method. (English) Zbl 1370.35073 Math. Methods Appl. Sci. 40, No. 10, 3676-3686 (2017). MSC: 35C07 35Q53 35R11 PDFBibTeX XMLCite \textit{Q. Feng} and \textit{F. Meng}, Math. Methods Appl. Sci. 40, No. 10, 3676--3686 (2017; Zbl 1370.35073) Full Text: DOI
Zayed, E. M. E.; Alurrfi, K. A. E. Extended auxiliary equation method and its applications for finding the exact solutions for a class of nonlinear Schrödinger-type equations. (English) Zbl 1410.35220 Appl. Math. Comput. 289, 111-131 (2016). MSC: 35Q55 35B10 35C08 PDFBibTeX XMLCite \textit{E. M. E. Zayed} and \textit{K. A. E. Alurrfi}, Appl. Math. Comput. 289, 111--131 (2016; Zbl 1410.35220) Full Text: DOI
Chang, Jing; Gao, Yixian; Zhao, Xin; Li, Zhuoshi New Jacobi elliptic function periodic solutions of generalized Zakharov equations. (Chinese. English summary) Zbl 1374.35036 J. Jilin Univ., Sci. 54, No. 5, 1043-1046 (2016). MSC: 35B10 35Q53 PDFBibTeX XMLCite \textit{J. Chang} et al., J. Jilin Univ., Sci. 54, No. 5, 1043--1046 (2016; Zbl 1374.35036) Full Text: DOI
Chang, Jing; Gao, Yixian; Zhao, Xin; Jiang, Huijie New Jacobi elliptic function periodic solutions of Davey-Stewartson equation. (Chinese. English summary) Zbl 1363.35285 J. Jilin Univ., Sci. 54, No. 4, 793-796 (2016). MSC: 35Q35 35B10 PDFBibTeX XMLCite \textit{J. Chang} et al., J. Jilin Univ., Sci. 54, No. 4, 793--796 (2016; Zbl 1363.35285) Full Text: DOI
Mickens, Ronald E. Periodic solutions of the functional equation \(f(t)^{2} + g(t)^{2} = 1\). (English) Zbl 1338.39034 J. Difference Equ. Appl. 22, No. 1, 67-74 (2016). MSC: 39B22 34A30 33E05 33E10 PDFBibTeX XMLCite \textit{R. E. Mickens}, J. Difference Equ. Appl. 22, No. 1, 67--74 (2016; Zbl 1338.39034) Full Text: DOI
Chen, Juan Periodic wave solutions expressed by Jacobi elliptic functions for a class of nonlinear Schrödinger equations. (Chinese. English summary) Zbl 1324.35168 Acta Math. Appl. Sin. 37, No. 4, 656-661 (2014). MSC: 35Q55 35B10 PDFBibTeX XMLCite \textit{J. Chen}, Acta Math. Appl. Sin. 37, No. 4, 656--661 (2014; Zbl 1324.35168)
Gürses, Metin; Pekcan, Aslı Traveling wave solutions of degenerate coupled Korteweg-de Vries equation. (English) Zbl 1303.35090 J. Math. Phys. 55, No. 9, 091501, 28 p. (2014). Reviewer: Ahmed Lesfari (El Jadida) MSC: 35Q53 35C08 76B15 35B10 35C07 PDFBibTeX XMLCite \textit{M. Gürses} and \textit{A. Pekcan}, J. Math. Phys. 55, No. 9, 091501, 28 p. (2014; Zbl 1303.35090) Full Text: DOI arXiv
Doronin, Gleb Germanovitch; Natali, Fábio M. An example of non-decreasing solution for the KdV equation posed on a bounded interval. (Un exemple de solution non décroissante de l’équation de KdV posée sur un intervalle borné.) (English. French summary) Zbl 1301.35129 C. R., Math., Acad. Sci. Paris 352, No. 5, 421-424 (2014). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q53 35B10 PDFBibTeX XMLCite \textit{G. G. Doronin} and \textit{F. M. Natali}, C. R., Math., Acad. Sci. Paris 352, No. 5, 421--424 (2014; Zbl 1301.35129) Full Text: DOI
Lu, Dianchen; Shi, Qian New Jacobi elliptic functions solutions for the combined KdV-MKdV equation. (English) Zbl 1235.35248 Int. J. Nonlinear Sci. 10, No. 3, 320-325 (2010). MSC: 35Q53 35Q51 68W30 35B10 PDFBibTeX XMLCite \textit{D. Lu} and \textit{Q. Shi}, Int. J. Nonlinear Sci. 10, No. 3, 320--325 (2010; Zbl 1235.35248)
Jiang, Xi-chun Explicit and exact traveling wave solutions of BBM equation. (Chinese. English summary) Zbl 1227.35122 J. Liaoning Univ. Technol., Nat. Sci. 30, No. 2, 136-140 (2010). MSC: 35C07 35C05 PDFBibTeX XMLCite \textit{X.-c. Jiang}, J. Liaoning Univ. Technol., Nat. Sci. 30, No. 2, 136--140 (2010; Zbl 1227.35122)
Zhang, Weiguo; Zhao, Yan; Liu, Gang; Ning, Tongke Periodic wave solutions for Pochhammer-Chree equation with five order nonlinear term and their relationship with solitary wave solutions. (English) Zbl 1206.37037 Int. J. Mod. Phys. B 24, No. 19, 3769-3783 (2010). Reviewer: George Stoica (Saint John) MSC: 37K10 37K40 35Q51 35Q53 PDFBibTeX XMLCite \textit{W. Zhang} et al., Int. J. Mod. Phys. B 24, No. 19, 3769--3783 (2010; Zbl 1206.37037) Full Text: DOI
Wen, Xiaoyong Extended Jacobi elliptic function expansion solutions of variant Boussinesq equations. (English) Zbl 1202.35268 Appl. Math. Comput. 217, No. 6, 2808-2820 (2010). MSC: 35Q53 35B10 35C09 35C08 35-04 PDFBibTeX XMLCite \textit{X. Wen}, Appl. Math. Comput. 217, No. 6, 2808--2820 (2010; Zbl 1202.35268) Full Text: DOI
Gao, Liang; Ma, Wen-Xiu; Xu, Wei Travelling wave solutions to Zufiria’s higher-order Boussinesq type equations. (English) Zbl 1238.35131 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e-Suppl., e711-e724 (2009). MSC: 35Q53 35Q51 35C07 35A24 PDFBibTeX XMLCite \textit{L. Gao} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e711--e724 (2009; Zbl 1238.35131) Full Text: DOI
Wang, Junmin The periodic wave solutions expressed with Jacobi elliptic functions for \((2+1)\)-dimensional breaking soliton equation. (Chinese. English summary) Zbl 1212.35400 J. Henan Norm. Univ., Nat. Sci. 37, No. 5, 8-10 (2009). MSC: 35Q51 35B10 PDFBibTeX XMLCite \textit{J. Wang}, J. Henan Norm. Univ., Nat. Sci. 37, No. 5, 8--10 (2009; Zbl 1212.35400)
Krishnan, E. V.; Peng, Yan-Ze Doubly periodic wave solutions of higher order KdV-mKdV equations. (English) Zbl 1181.35239 J. Pure Appl. Math., Adv. Appl. 1, No. 2, 183-197 (2009). MSC: 35Q53 35Q55 35B10 35C08 PDFBibTeX XMLCite \textit{E. V. Krishnan} and \textit{Y.-Z. Peng}, J. Pure Appl. Math., Adv. Appl. 1, No. 2, 183--197 (2009; Zbl 1181.35239)
Ma, Yulan; Li, Bangqing; Wang, Cong A series of abundant exact travelling wave solutions for a modified generalized Vakhnenko equation using auxiliary equation method. (English) Zbl 1400.35203 Appl. Math. Comput. 211, No. 1, 102-107 (2009). MSC: 35Q53 35B10 35C05 35C07 35C08 PDFBibTeX XMLCite \textit{Y. Ma} et al., Appl. Math. Comput. 211, No. 1, 102--107 (2009; Zbl 1400.35203) Full Text: DOI
Zhang, Li-Hua Travelling wave solutions for the generalized Zakharov-Kuznetsov equation with higher-order nonlinear terms. (English) Zbl 1159.65351 Appl. Math. Comput. 208, No. 1, 144-155 (2009). MSC: 65M70 35Q51 35Q53 PDFBibTeX XMLCite \textit{L.-H. Zhang}, Appl. Math. Comput. 208, No. 1, 144--155 (2009; Zbl 1159.65351) Full Text: DOI
Zhao, Xue-Qin; Zhi, Hong-Yan An improved F-expansion method and its application to coupled Drinfel’d-Sokolov-Wilson equation. (English) Zbl 1392.35056 Commun. Theor. Phys. 50, No. 2, 309-314 (2008). MSC: 35C05 35B10 35C08 35Q35 PDFBibTeX XMLCite \textit{X.-Q. Zhao} and \textit{H.-Y. Zhi}, Commun. Theor. Phys. 50, No. 2, 309--314 (2008; Zbl 1392.35056) Full Text: DOI
Zhong, Penghong; Yang, Ronghui; Yang, Ganshan Exact periodic and blow up solutions for 2D Ginzburg-Landau equation. (English) Zbl 1227.35087 Phys. Lett., A 373, No. 1, 19-22 (2008). MSC: 35B41 35C07 33E05 PDFBibTeX XMLCite \textit{P. Zhong} et al., Phys. Lett., A 373, No. 1, 19--22 (2008; Zbl 1227.35087) Full Text: DOI
Elgarayhi, A. New periodic wave solutions for the shallow water equations and the generalized Klein-Gordon equation. (English) Zbl 1221.35332 Commun. Nonlinear Sci. Numer. Simul. 13, No. 5, 877-888 (2008). MSC: 35Q53 26B15 35B10 35L70 PDFBibTeX XMLCite \textit{A. Elgarayhi}, Commun. Nonlinear Sci. Numer. Simul. 13, No. 5, 877--888 (2008; Zbl 1221.35332) Full Text: DOI
Huang, Wenhua; Liu, Yulu Doubly periodic wave solutions and soliton solutions of Ablowitz-Ladik lattice system. (English) Zbl 1143.35356 Int. J. Theor. Phys. 47, No. 2, 338-349 (2008). MSC: 35Q53 35Q51 37K60 35B10 PDFBibTeX XMLCite \textit{W. Huang} and \textit{Y. Liu}, Int. J. Theor. Phys. 47, No. 2, 338--349 (2008; Zbl 1143.35356) Full Text: DOI
Zhang, Sheng A further improved extended Fan sub-equation method for \((2+1)\)-dimensional breaking soliton equations. (English) Zbl 1187.35201 Appl. Math. Comput. 199, No. 1, 259-267 (2008). MSC: 35Q51 35A20 35-04 PDFBibTeX XMLCite \textit{S. Zhang}, Appl. Math. Comput. 199, No. 1, 259--267 (2008; Zbl 1187.35201) Full Text: DOI
Li, Zhu; Dong, Huanhe Abundant new travelling wave solutions for the (2 + 1)-dimensional sine-Gordon equation. (English) Zbl 1143.35357 Chaos Solitons Fractals 37, No. 2, 547-551 (2008). MSC: 35Q53 35B10 35C05 PDFBibTeX XMLCite \textit{Z. Li} and \textit{H. Dong}, Chaos Solitons Fractals 37, No. 2, 547--551 (2008; Zbl 1143.35357) Full Text: DOI
Inc, Mustafa New solitary wave solutions with compact support and Jacobi elliptic function solutions for the nonlinearly dispersive Boussinesq equations. (English) Zbl 1148.35069 Chaos Solitons Fractals 37, No. 3, 792-798 (2008). MSC: 35Q35 35Q51 35B10 35C05 PDFBibTeX XMLCite \textit{M. Inc}, Chaos Solitons Fractals 37, No. 3, 792--798 (2008; Zbl 1148.35069) Full Text: DOI
Huang, Wen-Hua; Liu, Yu-Lu; Ma, Zheng-Yi Doubly periodic propagating wave patterns of \((2+1)\)-dimensional Maccari system. (English) Zbl 1355.35129 Commun. Theor. Phys. 47, No. 3, 397-402 (2007). MSC: 35L51 33E05 35C07 PDFBibTeX XMLCite \textit{W.-H. Huang} et al., Commun. Theor. Phys. 47, No. 3, 397--402 (2007; Zbl 1355.35129) Full Text: DOI
Zhang, Yunzhang; Zhang, Baosheng; Liu, Limin The envelope periodic solutions of K-P equation with Jacobi elliptic function. (English) Zbl 1174.35491 J. Yunnan Nation. Univ., Nat. Sci. 16, No. 2, 117-121 (2007). MSC: 35Q51 35B10 PDFBibTeX XMLCite \textit{Y. Zhang} et al., J. Yunnan Nation. Univ., Nat. Sci. 16, No. 2, 117--121 (2007; Zbl 1174.35491)
Cao, Rui Improved \(F\)-expansion method and exact solutions for coupled nonlinear Klein-Gordon equation. (Chinese. English summary) Zbl 1164.35474 J. Lanzhou Univ., Nat. Sci. 43, No. 6, 112-116 (2007). MSC: 35Q53 74G05 PDFBibTeX XMLCite \textit{R. Cao}, J. Lanzhou Univ., Nat. Sci. 43, No. 6, 112--116 (2007; Zbl 1164.35474)
Lu, Dianchen; Hong, Baojian; Tian, Lixin; Zhang, Dahang New solutions of Jacobian elliptic and periodical function to \( (n+1)\)-dimensional Sinh-Gordon equation. (Chinese. English summary) Zbl 1150.35556 J. Jiangsu Univ., Nat. Sci. 28, No. 6, 544-548 (2007). MSC: 35Q53 PDFBibTeX XMLCite \textit{D. Lu} et al., J. Jiangsu Univ., Nat. Sci. 28, No. 6, 544--548 (2007; Zbl 1150.35556)
Wang, Yucai The periodic wave solutions for the coupled nonlinear Klein-Gordon equations. (Chinese. English summary) Zbl 1150.35562 J. Sichuan Norm. Univ., Nat. Sci. 30, No. 2, 157-159 (2007). MSC: 35Q53 35B10 PDFBibTeX XMLCite \textit{Y. Wang}, J. Sichuan Norm. Univ., Nat. Sci. 30, No. 2, 157--159 (2007; Zbl 1150.35562)
Zhang, Sheng A generalized auxiliary equation method and its application to \((2+1)\)-dimensional Korteweg-de Vries equations. (English) Zbl 1143.35363 Comput. Math. Appl. 54, No. 7-8, 1028-1038 (2007). MSC: 35Q53 35Q51 35B10 35C05 35-04 PDFBibTeX XMLCite \textit{S. Zhang}, Comput. Math. Appl. 54, No. 7--8, 1028--1038 (2007; Zbl 1143.35363) Full Text: DOI
Lu, Dianchen; Hong, Baojian; Tian, Lixin Solution of \( (n+1)\)-dimensional Sine-Gordon equation with modified \(F\)-expansion method. (Chinese. English summary) Zbl 1150.35555 J. Lanzhou Univ. Technol. 33, No. 1, 139-142 (2007). MSC: 35Q53 PDFBibTeX XMLCite \textit{D. Lu} et al., J. Lanzhou Univ. Technol. 33, No. 1, 139--142 (2007; Zbl 1150.35555)
Chen, Hongqiu; Chen, Min; Nguyen, Nghiem V. Cnoidal wave solutions to Boussinesq systems. (English) Zbl 1122.35106 Nonlinearity 20, No. 6, 1443-1461 (2007). MSC: 35Q35 37K20 34L30 35Q51 35S15 76B03 76B15 76B25 PDFBibTeX XMLCite \textit{H. Chen} et al., Nonlinearity 20, No. 6, 1443--1461 (2007; Zbl 1122.35106) Full Text: DOI Link
Wan, Ying; Song, Lina; Yin, Li; Zhang, Hongqing Generalized method and new exact wave solutions for \((2 + 1)\)-dimensional Broer-Kaup-Kupershmidt system. (English) Zbl 1114.65353 Appl. Math. Comput. 187, No. 2, 644-657 (2007). MSC: 65M70 35Q72 35Q51 PDFBibTeX XMLCite \textit{Y. Wan} et al., Appl. Math. Comput. 187, No. 2, 644--657 (2007; Zbl 1114.65353) Full Text: DOI
Abdou, M. A.; Elhanbaly, A. Construction of periodic and solitary wave solutions by the extended Jacobi elliptic function expansion method. (English) Zbl 1350.35166 Commun. Nonlinear Sci. Numer. Simul. 12, No. 7, 1229-1241 (2007). MSC: 35Q53 35B10 35Q51 PDFBibTeX XMLCite \textit{M. A. Abdou} and \textit{A. Elhanbaly}, Commun. Nonlinear Sci. Numer. Simul. 12, No. 7, 1229--1241 (2007; Zbl 1350.35166) Full Text: DOI
Liu, Shikuo; Fu, Zuntao; Liu, Shida Exact solutions to sine-Gordon-type equations. (English) Zbl 1234.35227 Phys. Lett., A 351, No. 1-2, 59-63 (2006). MSC: 35Q53 35C05 35L70 33C45 PDFBibTeX XMLCite \textit{S. Liu} et al., Phys. Lett., A 351, No. 1--2, 59--63 (2006; Zbl 1234.35227) Full Text: DOI
Li, Xiao-Yan; Li, Xiang-Zheng; Wang, Ming-Liang Extended \(F\)-expansion method and periodic wave solutions for Klein-Gordon-Schrödinger equations. (English) Zbl 1170.35539 Commun. Theor. Phys. 45, No. 1, 9-14 (2006). MSC: 35Q55 35B10 35L70 PDFBibTeX XMLCite \textit{X.-Y. Li} et al., Commun. Theor. Phys. 45, No. 1, 9--14 (2006; Zbl 1170.35539) Full Text: DOI
Zhang, Sheng; Xia, Tiecheng A further improved extended fan sub-equation method and its application to the \((3+1)\)-dimensional Kadomstev-Petviashvili equation. (English) Zbl 1160.37404 Phys. Lett., A 356, No. 2, 119-123 (2006). MSC: 37K10 PDFBibTeX XMLCite \textit{S. Zhang} and \textit{T. Xia}, Phys. Lett., A 356, No. 2, 119--123 (2006; Zbl 1160.37404) Full Text: DOI
Abdusalam, H. A. The periodic wave solutions for the generalized Hirota-Satsuma system and the Nutku-Ö\~guz equation. (English) Zbl 1125.35311 Far East J. Appl. Math. 24, No. 2, 163-175 (2006). MSC: 35B10 35D05 PDFBibTeX XMLCite \textit{H. A. Abdusalam}, Far East J. Appl. Math. 24, No. 2, 163--175 (2006; Zbl 1125.35311)
Li, Bacui Periodic wave solutions for coupled Schrödinger-KdV equation. (Chinese. English summary) Zbl 1119.35361 J. Luoyang Univ. 21, No. 4, 23-28 (2006). MSC: 35Q55 35B10 37K20 PDFBibTeX XMLCite \textit{B. Li}, J. Luoyang Univ. 21, No. 4, 23--28 (2006; Zbl 1119.35361)
Tian, Yinghui; Chen, Hanlin New periodic wave solutions for some fifth-order nonlinear evolution equations. (Chinese. English summary) Zbl 1111.35315 J. Sichuan Norm. Univ., Nat. Sci. 29, No. 5, 539-541 (2006). MSC: 35Q53 37K20 PDFBibTeX XMLCite \textit{Y. Tian} and \textit{H. Chen}, J. Sichuan Norm. Univ., Nat. Sci. 29, No. 5, 539--541 (2006; Zbl 1111.35315)
Zha, Qilao; Sirendaoreji Exact periodic wave solutions for the \((2+1)\)-dimensional breaking soliton system. (English) Zbl 1111.35324 J. Inn. Mong. Norm. Univ., Nat. Sci. 35, No. 2, 135-139, 143 (2006). MSC: 35Q58 37K20 35B10 35C05 PDFBibTeX XMLCite \textit{Q. Zha} and \textit{Sirendaoreji}, J. Inn. Mong. Norm. Univ., Nat. Sci. 35, No. 2, 135--139, 143 (2006; Zbl 1111.35324)
Zhang, Sheng; Xia, Tiecheng Further improved extended Fan sub-equation method and new exact solutions of the (2 + 1)-dimensional Broer-Kaup-Kupershmidt equations. (English) Zbl 1117.65143 Appl. Math. Comput. 182, No. 2, 1651-1660 (2006). MSC: 65M70 68W30 35Q53 PDFBibTeX XMLCite \textit{S. Zhang} and \textit{T. Xia}, Appl. Math. Comput. 182, No. 2, 1651--1660 (2006; Zbl 1117.65143) Full Text: DOI
Dou, Fuquan; Sun, Jianan; Duan, Wenshan; Lü, Kepu; Hong, Xueren; Shi, Yuren The multi-order envelope periodic solutions for the Zakharov equation. (Chinese. English summary) Zbl 1108.35304 J. Northwest Norm. Univ., Nat. Sci. 42, No. 4, 38-43 (2006). MSC: 35B10 35Q60 35Q51 PDFBibTeX XMLCite \textit{F. Dou} et al., J. Northwest Norm. Univ., Nat. Sci. 42, No. 4, 38--43 (2006; Zbl 1108.35304)
Inc, Mustafa On numerical Jacobi elliptic function solutions of the (1+1)-dimensional dispersive long wave equation by the decomposition method. (English) Zbl 1089.65106 Appl. Math. Comput. 173, No. 1, 372-382 (2006). MSC: 65M70 35L70 68W30 PDFBibTeX XMLCite \textit{M. Inc}, Appl. Math. Comput. 173, No. 1, 372--382 (2006; Zbl 1089.65106) Full Text: DOI
Chen, Yong; Wang, Qi A new elliptic equation rational expansion method and its application to the shallow long wave approximate equations. (English) Zbl 1088.65087 Appl. Math. Comput. 173, No. 2, 1163-1182 (2006). MSC: 65M70 35Q51 68W30 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{Q. Wang}, Appl. Math. Comput. 173, No. 2, 1163--1182 (2006; Zbl 1088.65087) Full Text: DOI
Inc, Mustafa On numerical doubly periodic wave solutions of the coupled Drinfel’d-Sokolov-Wilson equation by the decomposition method. (English) Zbl 1088.65090 Appl. Math. Comput. 172, No. 1, 421-430 (2006). MSC: 65M70 35K55 68W30 PDFBibTeX XMLCite \textit{M. Inc}, Appl. Math. Comput. 172, No. 1, 421--430 (2006; Zbl 1088.65090) Full Text: DOI
Wang, Mingliang; Li, Xiangzheng Exact solutions to the double sine-Gordon equation. (English) Zbl 1088.35543 Chaos Solitons Fractals 27, No. 2, 477-486 (2006). MSC: 35Q53 35C05 37K20 PDFBibTeX XMLCite \textit{M. Wang} and \textit{X. Li}, Chaos Solitons Fractals 27, No. 2, 477--486 (2006; Zbl 1088.35543) Full Text: DOI
Liu, Guan-Ting; Fan, Tian-You New applications of developed Jacobi elliptic function expansion methods. (English) Zbl 1345.35091 Phys. Lett., A 345, No. 1-3, 161-166 (2005). MSC: 35Q53 35B10 35G20 33E05 PDFBibTeX XMLCite \textit{G.-T. Liu} and \textit{T.-Y. Fan}, Phys. Lett., A 345, No. 1--3, 161--166 (2005; Zbl 1345.35091) Full Text: DOI
Elgarayhi, A.; Elhanbaly, A. New exact traveling wave solutions for the two-dimensional KdV-Burgers and Boussinesq equations. (English) Zbl 1181.35231 Phys. Lett., A 343, No. 1-3, 85-89 (2005). MSC: 35Q53 35B10 PDFBibTeX XMLCite \textit{A. Elgarayhi} and \textit{A. Elhanbaly}, Phys. Lett., A 343, No. 1--3, 85--89 (2005; Zbl 1181.35231) Full Text: DOI
Wang, Mingliang; Li, Xiangzheng Extended \(F\)-expansion method and periodic wave solutions for the generalized Zakharov equations. (English) Zbl 1181.35255 Phys. Lett., A 343, No. 1-3, 48-54 (2005). MSC: 35Q53 35B10 PDFBibTeX XMLCite \textit{M. Wang} and \textit{X. Li}, Phys. Lett., A 343, No. 1--3, 48--54 (2005; Zbl 1181.35255) Full Text: DOI
Wang, Qi; Chen, Yong; Zhang, Hongqing An extended Jacobi elliptic function rational expansion method and its application to \((2+1)\)-dimensional dispersive long wave equation. (English) Zbl 1145.35358 Phys. Lett., A 340, No. 5-6, 411-426 (2005). MSC: 35G20 33E05 35-04 35Q51 35B10 PDFBibTeX XMLCite \textit{Q. Wang} et al., Phys. Lett., A 340, No. 5--6, 411--426 (2005; Zbl 1145.35358) Full Text: DOI
Liu, Shikuo; Fu, Zuntao; Liu, Shida Periodic solutions for a class of coupled nonlinear partial differential equations. (English) Zbl 1136.35459 Phys. Lett., A 336, No. 2-3, 175-179 (2005). MSC: 35Q58 35B10 PDFBibTeX XMLCite \textit{S. Liu} et al., Phys. Lett., A 336, No. 2--3, 175--179 (2005; Zbl 1136.35459) Full Text: DOI
Sun, Jiannan; Dou, Fuquan; Duan, Wenshan; Lu, Kepu; Shi, Yuren; Hong, Xueren New exact periodic solutions to a category of nonlinear evolution equations. (Chinese. English summary) Zbl 1087.35506 J. Lanzhou Univ. Technol. 31, No. 5, 134-137 (2005). MSC: 35B10 35K55 35Q53 35Q51 35C10 PDFBibTeX XMLCite \textit{J. Sun} et al., J. Lanzhou Univ. Technol. 31, No. 5, 134--137 (2005; Zbl 1087.35506)
Li, Baoan; Chen, Jinlan; Wang, Mingliang Applications of \(F\)-expansion method to class of nonlinear Klein-Gordon equations. (English) Zbl 1085.65098 J. Henan Univ. Sci. Technol., Nat. Sci. 26, No. 5, 80-83, 92 (2005). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{B. Li} et al., J. Henan Univ. Sci. Technol., Nat. Sci. 26, No. 5, 80--83, 92 (2005; Zbl 1085.65098)
Chen, Yong; Wang, Qi A new general algebraic method with symbolic computation to construct new doubly-periodic solutions of the \((2 + 1\))-dimensional dispersive long wave equation. (English) Zbl 1082.65577 Appl. Math. Comput. 167, No. 2, 919-929 (2005). MSC: 65M70 35L75 68W30 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{Q. Wang}, Appl. Math. Comput. 167, No. 2, 919--929 (2005; Zbl 1082.65577) Full Text: DOI
Li, Xiaoyan; Zhang, Lingyuan; Li, Baoan; Li, Xiangzheng Periodic wave solutions and solitary wave solutions to \((2+1)\)-dimensional KdV equation. (Chinese. English summary) Zbl 1086.35519 J. Lanzhou Univ. Technol. 31, No. 1, 138-140 (2005). MSC: 35Q53 37K40 PDFBibTeX XMLCite \textit{X. Li} et al., J. Lanzhou Univ. Technol. 31, No. 1, 138--140 (2005; Zbl 1086.35519)
Wang, Mingliang; Li, Xiangzheng Applications of F-expansion to periodic wave solutions for a new Hamiltonian amplitude equation. (English) Zbl 1092.37054 Chaos Solitons Fractals 24, No. 5, 1257-1268 (2005). MSC: 37N05 35Q53 35B10 35Q51 PDFBibTeX XMLCite \textit{M. Wang} and \textit{X. Li}, Chaos Solitons Fractals 24, No. 5, 1257--1268 (2005; Zbl 1092.37054) Full Text: DOI
He, Baogang; Xu, Changzhi Traveling wave solutions of 2-dimensional generalized dispersive long wave equations. (Chinese. English summary) Zbl 1068.35105 J. Zhengzhou Univ., Nat. Sci. Ed. 37, No. 1, 26-29 (2005). MSC: 35Q35 76B15 37K40 PDFBibTeX XMLCite \textit{B. He} and \textit{C. Xu}, J. Zhengzhou Univ., Nat. Sci. Ed. 37, No. 1, 26--29 (2005; Zbl 1068.35105)
Liu, Chunping Doubly periodic solutions of the coupled scalar field equations. (English) Zbl 1074.34004 Chaos Solitons Fractals 23, No. 1, 93-100 (2005). Reviewer: Valeriy A. Yumaguzhin (Opava) MSC: 34A05 34A34 34C25 PDFBibTeX XMLCite \textit{C. Liu}, Chaos Solitons Fractals 23, No. 1, 93--100 (2005; Zbl 1074.34004) Full Text: DOI
Fu, Zun-Tao; Liu, Shi-Kuo; Liu, Shi-Da Elliptic equation and new solutions to nonlinear wave equations. (English) Zbl 1167.35469 Commun. Theor. Phys. 42, No. 3, 343-346 (2004). MSC: 35Q53 35B10 35L70 35Q51 PDFBibTeX XMLCite \textit{Z.-T. Fu} et al., Commun. Theor. Phys. 42, No. 3, 343--346 (2004; Zbl 1167.35469) Full Text: DOI
Chen, Yong; Wang, Qi; Li, Biao A generalized algebraic method for constructing a series of explicit exact solutions of a (1+1)-dimensional dispersive long wave equation. (English) Zbl 1167.35460 Commun. Theor. Phys. 42, No. 3, 329-334 (2004). MSC: 35Q53 35C05 35Q51 76B25 PDFBibTeX XMLCite \textit{Y. Chen} et al., Commun. Theor. Phys. 42, No. 3, 329--334 (2004; Zbl 1167.35460) Full Text: DOI
Zhao, Qiang; Liu, Shi-Kuo; Fu, Zun-Tao Exact periodic-wave solutions for (2+1)-dimensional Boussinesq equation and (3+1)-dimensional KP equation. (English) Zbl 1167.35501 Commun. Theor. Phys. 42, No. 2, 239-241 (2004). MSC: 35Q53 35B10 PDFBibTeX XMLCite \textit{Q. Zhao} et al., Commun. Theor. Phys. 42, No. 2, 239--241 (2004; Zbl 1167.35501) Full Text: DOI
Zhao, Qiang; Liu, Shi-Kuo; Fu, Zun-Tao Exact periodic-wave solutions to Nizhnik–Novikov–Veselov equation. (English) Zbl 1167.35500 Commun. Theor. Phys. 41, No. 5, 719-722 (2004). MSC: 35Q53 35B10 PDFBibTeX XMLCite \textit{Q. Zhao} et al., Commun. Theor. Phys. 41, No. 5, 719--722 (2004; Zbl 1167.35500) Full Text: DOI
Fu, Zun-Tao; Chen, Zhe; Liu, Shi-Da; Liu, Shi-Kuo Elliptic equation and its direct applications to nonlinear wave equations. (English) Zbl 1167.35412 Commun. Theor. Phys. 41, No. 5, 675-680 (2004). MSC: 35L70 35J60 35B10 PDFBibTeX XMLCite \textit{Z.-T. Fu} et al., Commun. Theor. Phys. 41, No. 5, 675--680 (2004; Zbl 1167.35412) Full Text: DOI
Zhou, Yubin; Wang, Mingliang; Miao, Tiande The periodic wave solutions and solitary wave solutions for a class of nonlinear partial differential equations. (English) Zbl 1118.81480 Phys. Lett., A 323, No. 1-2, 77-88 (2004). MSC: 35Q55 35B10 35Q51 PDFBibTeX XMLCite \textit{Y. Zhou} et al., Phys. Lett., A 323, No. 1--2, 77--88 (2004; Zbl 1118.81480) Full Text: DOI
Li, Xiuyong; Qin, Qing; Li, Baoan; Li, Xiangzheng Exact solutions to mKdV equation. (Chinese. English summary) Zbl 1088.35540 J. Henan Univ. Sci. Technol., Nat. Sci. 25, No. 4, 86-89 (2004). MSC: 35Q53 37K20 35C05 PDFBibTeX XMLCite \textit{X. Li} et al., J. Henan Univ. Sci. Technol., Nat. Sci. 25, No. 4, 86--89 (2004; Zbl 1088.35540)
Hassan, M. M. Exact solutions for some models of nonlinear evolution equations. (English) Zbl 1079.35091 J. Egypt. Math. Soc. 12, No. 1, 31-43 (2004). MSC: 35Q53 37K40 35C05 PDFBibTeX XMLCite \textit{M. M. Hassan}, J. Egypt. Math. Soc. 12, No. 1, 31--43 (2004; Zbl 1079.35091)
Inc, M. Travelling and periodic wave solutions of a classical Boussinesq system. (English) Zbl 1063.35048 Soochow J. Math. 30, No. 1, 91-101 (2004). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 35C05 35Q51 35B10 PDFBibTeX XMLCite \textit{M. Inc}, Soochow J. Math. 30, No. 1, 91--101 (2004; Zbl 1063.35048)
Chen, Huaitang; Zhang, Hongqing New double periodic solutions for a kind of nonlinear wave equation. (English) Zbl 1051.35064 Prog. Theor. Phys. 109, No. 5, 709-716 (2003). MSC: 35Q53 37K20 PDFBibTeX XMLCite \textit{H. Chen} and \textit{H. Zhang}, Prog. Theor. Phys. 109, No. 5, 709--716 (2003; Zbl 1051.35064) Full Text: DOI
Fan, Enguiu; Hon, Y. C. A series of travelling wave solutions for two variant Boussinesq equations in shallow water waves. (English) Zbl 1031.76008 Chaos Solitons Fractals 15, No. 3, 559-566 (2003). MSC: 76B15 35Q35 76B25 35Q51 PDFBibTeX XMLCite \textit{E. Fan} and \textit{Y. C. Hon}, Chaos Solitons Fractals 15, No. 3, 559--566 (2003; Zbl 1031.76008) Full Text: DOI
Feng, Zhaosheng Duffing’s equation and its applications to the Hirota equation. (English) Zbl 1056.35140 Phys. Lett., A 317, No. 1-2, 115-119 (2003). MSC: 35Q53 37K10 PDFBibTeX XMLCite \textit{Z. Feng}, Phys. Lett., A 317, No. 1--2, 115--119 (2003; Zbl 1056.35140) Full Text: DOI
Fu, Zuntao; Liu, Shikuo; Liu, Shida; Zhao, Qiang The JEFE method and periodic solutions of two kinds of nonlinear wave equations. (English) Zbl 1018.35066 Commun. Nonlinear Sci. Numer. Simul. 8, No. 2, 67-75 (2003). MSC: 35Q53 37K20 35B10 PDFBibTeX XMLCite \textit{Z. Fu} et al., Commun. Nonlinear Sci. Numer. Simul. 8, No. 2, 67--75 (2003; Zbl 1018.35066) Full Text: DOI
Shen, Shoufeng; Pan, Zuliang New periodic solutions of nonlinear evolution equations. (English) Zbl 1017.35102 Appl. Math., Ser. B (Engl. Ed.) 17, No. 4, 425-430 (2002). MSC: 35Q53 35B10 37K20 PDFBibTeX XMLCite \textit{S. Shen} and \textit{Z. Pan}, Appl. Math., Ser. B (Engl. Ed.) 17, No. 4, 425--430 (2002; Zbl 1017.35102) Full Text: DOI
Fu, Zuntao; Liu, Shikuo; Liu, Shida; Zhao, Qiang New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations. (English) Zbl 0977.35094 Phys. Lett., A 290, No. 1-2, 72-76 (2001). MSC: 35L70 33C45 35B10 35C10 PDFBibTeX XMLCite \textit{Z. Fu} et al., Phys. Lett., A 290, No. 1--2, 72--76 (2001; Zbl 0977.35094) Full Text: DOI
Vernov, S. Yu.; Khrustalev, O. A. Approximate double-periodic solutions in \((1+1)\)-dimensional \(\varphi^4\)-theory. (English. Russian original) Zbl 0917.35115 Theor. Math. Phys. 116, No. 2, 881-889 (1998); translation from Teor. Mat. Fiz. 116, No. 2, 182-192 (1998). MSC: 35Q40 81Q05 PDFBibTeX XMLCite \textit{S. Yu. Vernov} and \textit{O. A. Khrustalev}, Theor. Math. Phys. 116, No. 2, 881--889 (1998; Zbl 0917.35115); translation from Teor. Mat. Fiz. 116, No. 2, 182--192 (1998) Full Text: DOI