Anco, S. C.; Gandarias, M. L. Nonlinearly dispersive KP equations with new compacton solutions. (English) Zbl 1528.35145 Nonlinear Anal., Real World Appl. 75, Article ID 103964, 24 p. (2024). MSC: 35Q53 35D35 35C07 35C08 34C15 PDFBibTeX XMLCite \textit{S. C. Anco} and \textit{M. L. Gandarias}, Nonlinear Anal., Real World Appl. 75, Article ID 103964, 24 p. (2024; Zbl 1528.35145) Full Text: DOI arXiv
Jiang, Ke; Cao, Feng Lyapunov-type stability criterion for periodic generalized Camassa-Holm equations. (English) Zbl 07725778 Nonlinear Anal., Real World Appl. 74, Article ID 103940, 14 p. (2023). MSC: 35Q53 35C08 37K35 34L05 35B10 35B35 PDFBibTeX XMLCite \textit{K. Jiang} and \textit{F. Cao}, Nonlinear Anal., Real World Appl. 74, Article ID 103940, 14 p. (2023; Zbl 07725778) Full Text: DOI
Moon, Byungsoo Nonexistence of periodic peaked traveling wave solutions to a rotation \(\mu \)-Camassa-Holm equation with Coriolis effect. (English) Zbl 1505.35305 Nonlinear Anal., Real World Appl. 70, Article ID 103793, 7 p. (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q35 35Q53 76U60 86A05 35G25 35D30 35C07 35C08 35A01 37K10 PDFBibTeX XMLCite \textit{B. Moon}, Nonlinear Anal., Real World Appl. 70, Article ID 103793, 7 p. (2023; Zbl 1505.35305) Full Text: DOI
Guo, Yingying The well-posedness, ill-posedness and non-uniform dependence on initial data for the Fornberg-Whitham equation in Besov spaces. (English) Zbl 1511.35278 Nonlinear Anal., Real World Appl. 70, Article ID 103791, 18 p. (2023). Reviewer: Elena Frolova (Sankt-Peterburg) MSC: 35Q35 35Q53 35B30 35G25 35A01 35A02 76B03 76B25 35R25 PDFBibTeX XMLCite \textit{Y. Guo}, Nonlinear Anal., Real World Appl. 70, Article ID 103791, 18 p. (2023; Zbl 1511.35278) Full Text: DOI arXiv
de A. Capistrano Filho, Roberto; Kwak, Chulkwang; Leal, Francisco J. Vielma On the control issues for higher-order nonlinear dispersive equations on the circle. (English) Zbl 1504.35439 Nonlinear Anal., Real World Appl. 68, Article ID 103695, 42 p. (2022). MSC: 35Q53 93B05 93B52 93C20 35B65 PDFBibTeX XMLCite \textit{R. de A. Capistrano Filho} et al., Nonlinear Anal., Real World Appl. 68, Article ID 103695, 42 p. (2022; Zbl 1504.35439) Full Text: DOI arXiv
Zhao, Yajuan; Yan, Xiangqian; Yan, Wei; Li, Yongsheng Pointwise convergence problem of the Korteweg-de Vries-Benjamin-Ono equation. (English) Zbl 1504.35460 Nonlinear Anal., Real World Appl. 67, Article ID 103611, 18 p. (2022). MSC: 35Q53 37F35 35R60 PDFBibTeX XMLCite \textit{Y. Zhao} et al., Nonlinear Anal., Real World Appl. 67, Article ID 103611, 18 p. (2022; Zbl 1504.35460) Full Text: DOI
Chentouf, Boumediène; Guesmia, Aissa Well-posedness and stability results for the Korteweg-de Vries-Burgers and Kuramoto-Sivashinsky equations with infinite memory: a history approach. (English) Zbl 1482.35203 Nonlinear Anal., Real World Appl. 65, Article ID 103508, 30 p. (2022). MSC: 35Q53 93C20 93D15 93B05 35B40 PDFBibTeX XMLCite \textit{B. Chentouf} and \textit{A. Guesmia}, Nonlinear Anal., Real World Appl. 65, Article ID 103508, 30 p. (2022; Zbl 1482.35203) Full Text: DOI
Esfahani, Amin; Levandosky, Steven Solitary waves of a generalized Ostrovsky equation. (English) Zbl 1502.35143 Nonlinear Anal., Real World Appl. 63, Article ID 103395, 33 p. (2022). MSC: 35Q53 35B35 35A01 35C07 35C08 PDFBibTeX XMLCite \textit{A. Esfahani} and \textit{S. Levandosky}, Nonlinear Anal., Real World Appl. 63, Article ID 103395, 33 p. (2022; Zbl 1502.35143) Full Text: DOI
Coclite, Giuseppe Maria; di Ruvo, Lorenzo On the solutions for an Ostrovsky type equation. (English) Zbl 1451.35061 Nonlinear Anal., Real World Appl. 55, Article ID 103141, 31 p. (2020). MSC: 35G25 35Q53 PDFBibTeX XMLCite \textit{G. M. Coclite} and \textit{L. di Ruvo}, Nonlinear Anal., Real World Appl. 55, Article ID 103141, 31 p. (2020; Zbl 1451.35061) Full Text: DOI
Zhou, Deqin On the Cauchy problem for the strong dissipative fifth-order KdV equations. (English) Zbl 1428.35474 Nonlinear Anal., Real World Appl. 48, 466-484 (2019). MSC: 35Q53 35A01 35A02 35D30 PDFBibTeX XMLCite \textit{D. Zhou}, Nonlinear Anal., Real World Appl. 48, 466--484 (2019; Zbl 1428.35474) Full Text: DOI
Himonas, A. Alexandrou; Kalisch, Henrik; Selberg, Sigmund On persistence of spatial analyticity for the dispersion-generalized periodic KdV equation. (English) Zbl 1379.35278 Nonlinear Anal., Real World Appl. 38, 35-48 (2017). MSC: 35Q53 35B65 PDFBibTeX XMLCite \textit{A. A. Himonas} et al., Nonlinear Anal., Real World Appl. 38, 35--48 (2017; Zbl 1379.35278) Full Text: DOI
Jolly, Michael S.; Sadigov, Tural; Titi, Edriss S. Determining form and data assimilation algorithm for weakly damped and driven Korteweg-de Vries equation – Fourier modes case. (English) Zbl 1364.35312 Nonlinear Anal., Real World Appl. 36, 287-317 (2017). MSC: 35Q53 35B41 PDFBibTeX XMLCite \textit{M. S. Jolly} et al., Nonlinear Anal., Real World Appl. 36, 287--317 (2017; Zbl 1364.35312) Full Text: DOI arXiv
Ivanov, Rossen Hamiltonian model for coupled surface and internal waves in the presence of currents. (English) Zbl 1383.76050 Nonlinear Anal., Real World Appl. 34, 316-334 (2017). MSC: 76B15 35Q53 76B70 PDFBibTeX XMLCite \textit{R. Ivanov}, Nonlinear Anal., Real World Appl. 34, 316--334 (2017; Zbl 1383.76050) Full Text: DOI arXiv
Mi, Lufang; Zhang, Kangkang Quasi-periodic solutions for perturbed generalized KdV equation. (English) Zbl 1350.35173 Nonlinear Anal., Real World Appl. 32, 314-337 (2016). Reviewer: Ahmed Lesfari (El Jadida) MSC: 35Q53 37K55 35B10 PDFBibTeX XMLCite \textit{L. Mi} and \textit{K. Zhang}, Nonlinear Anal., Real World Appl. 32, 314--337 (2016; Zbl 1350.35173) Full Text: DOI
Sergyeyev, A.; Vitolo, R. Symmetries and conservation laws for the Karczewska-Rozmej-Rutkowski-Infeld equation. (English) Zbl 1382.35014 Nonlinear Anal., Real World Appl. 32, 1-9 (2016). MSC: 35A30 35Q53 37K10 PDFBibTeX XMLCite \textit{A. Sergyeyev} and \textit{R. Vitolo}, Nonlinear Anal., Real World Appl. 32, 1--9 (2016; Zbl 1382.35014) Full Text: DOI arXiv
Wang, Yunhu; Chen, Yong Bell polynomials approach for two higher-order KdV-type equations in fluids. (English) Zbl 1342.35313 Nonlinear Anal., Real World Appl. 31, 533-551 (2016). MSC: 35Q53 37K35 35C08 14K25 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{Y. Chen}, Nonlinear Anal., Real World Appl. 31, 533--551 (2016; Zbl 1342.35313) Full Text: DOI
Chen, Yong; Gao, Hongjun; Fan, Lili Well-posedness and the small time large deviations of the stochastic integrable equation governing short-waves in a long-wave model. (English) Zbl 1382.35344 Nonlinear Anal., Real World Appl. 29, 38-57 (2016). MSC: 35R60 35B30 35Q53 60F10 60H15 PDFBibTeX XMLCite \textit{Y. Chen} et al., Nonlinear Anal., Real World Appl. 29, 38--57 (2016; Zbl 1382.35344) Full Text: DOI
Huang, Lin; Xu, Jian; Fan, En-gui Long-time asymptotic for the Hirota equation via nonlinear steepest descent method. (English) Zbl 1330.35280 Nonlinear Anal., Real World Appl. 26, 229-262 (2015). MSC: 35Q15 35Q53 35B40 65J15 PDFBibTeX XMLCite \textit{L. Huang} et al., Nonlinear Anal., Real World Appl. 26, 229--262 (2015; Zbl 1330.35280) Full Text: DOI
Mayil Vaganan, B.; Shanmuga Priya, T. Exact analytic, regular perturbation and numerical solutions of symmetry reductions of a (2+1)-dimensional KdV-Burgers equation. (English) Zbl 1261.35129 Nonlinear Anal., Real World Appl. 14, No. 3, 1265-1275 (2013). MSC: 35Q53 35B06 PDFBibTeX XMLCite \textit{B. Mayil Vaganan} and \textit{T. Shanmuga Priya}, Nonlinear Anal., Real World Appl. 14, No. 3, 1265--1275 (2013; Zbl 1261.35129) Full Text: DOI
Listopadova, Valentyna; Magda, Olena; Pobyzh, Vira How to find solutions, Lie symmetries, and conservation laws of forced Korteweg-de Vries equations in optimal way. (English) Zbl 1253.35151 Nonlinear Anal., Real World Appl. 14, No. 1, 202-205 (2013). MSC: 35Q53 35A30 PDFBibTeX XMLCite \textit{V. Listopadova} et al., Nonlinear Anal., Real World Appl. 14, No. 1, 202--205 (2013; Zbl 1253.35151) Full Text: DOI
Liu, Xingxing; Yin, Zhaoyang Orbital stability of the sum of \(N\) peakons for the Dullin-Gottwald-Holm equation. (English) Zbl 1388.35173 Nonlinear Anal., Real World Appl. 13, No. 5, 2414-2422 (2012). MSC: 35Q53 35Q51 35B35 35C08 PDFBibTeX XMLCite \textit{X. Liu} and \textit{Z. Yin}, Nonlinear Anal., Real World Appl. 13, No. 5, 2414--2422 (2012; Zbl 1388.35173) Full Text: DOI
Adem, Khadijo Rashid; Khalique, Chaudry Masood Exact solutions and conservation laws of Zakharov-Kuznetsov modified equal width equation with power law nonlinearity. (English) Zbl 1253.35143 Nonlinear Anal., Real World Appl. 13, No. 4, 1692-1702 (2012). MSC: 35Q53 35C08 PDFBibTeX XMLCite \textit{K. R. Adem} and \textit{C. M. Khalique}, Nonlinear Anal., Real World Appl. 13, No. 4, 1692--1702 (2012; Zbl 1253.35143) Full Text: DOI
Bronski, Jared C.; Fetecau, Razvan C. An alternative energy bound derivation for a generalized Hasegawa-Mima equation. (English) Zbl 1239.35136 Nonlinear Anal., Real World Appl. 13, No. 3, 1362-1368 (2012). MSC: 35Q53 35B41 PDFBibTeX XMLCite \textit{J. C. Bronski} and \textit{R. C. Fetecau}, Nonlinear Anal., Real World Appl. 13, No. 3, 1362--1368 (2012; Zbl 1239.35136) Full Text: DOI
Lü, Xing; Tian, Bo; Qi, Feng Hua Bell-polynomial construction of Bäcklund transformations with auxiliary independent variable for some soliton equations with one tau-function. (English) Zbl 1239.35132 Nonlinear Anal., Real World Appl. 13, No. 3, 1130-1138 (2012). MSC: 35Q51 37K10 35Q53 68W30 PDFBibTeX XMLCite \textit{X. Lü} et al., Nonlinear Anal., Real World Appl. 13, No. 3, 1130--1138 (2012; Zbl 1239.35132) Full Text: DOI
Tian, Lixin; Xu, Ying; Zhou, Jiangbo Attractor for the viscous two-component Camassa-Holm equation. (English) Zbl 1239.35143 Nonlinear Anal., Real World Appl. 13, No. 3, 1115-1129 (2012). MSC: 35Q53 35B41 35A01 PDFBibTeX XMLCite \textit{L. Tian} et al., Nonlinear Anal., Real World Appl. 13, No. 3, 1115--1129 (2012; Zbl 1239.35143) Full Text: DOI
Zhu, Mingxuan; Jiang, Zaihong Some properties of solutions to the weakly dissipative \(b\)-family equation. (English) Zbl 1238.35141 Nonlinear Anal., Real World Appl. 13, No. 1, 158-167 (2012). MSC: 35Q53 35B44 35A01 PDFBibTeX XMLCite \textit{M. Zhu} and \textit{Z. Jiang}, Nonlinear Anal., Real World Appl. 13, No. 1, 158--167 (2012; Zbl 1238.35141) Full Text: DOI
Triki, Houria; Wazwaz, Abdul-Majid A one-soliton solution of the \(ZK(m,n,k)\) equation with generalized evolution and time-dependent coefficients. (English) Zbl 1219.35262 Nonlinear Anal., Real World Appl. 12, No. 5, 2822-2825 (2011). MSC: 35Q53 PDFBibTeX XMLCite \textit{H. Triki} and \textit{A.-M. Wazwaz}, Nonlinear Anal., Real World Appl. 12, No. 5, 2822--2825 (2011; Zbl 1219.35262) Full Text: DOI
Zhang, Weiguo; Shi, Gaolong; Qin, Yinghao; Wei, Gongming; Guo, Boling Orbital stability of solitary waves for the compound KdV equation. (English) Zbl 1216.35129 Nonlinear Anal., Real World Appl. 12, No. 3, 1627-1639 (2011). MSC: 35Q53 35Q51 35C08 35B35 35B40 35P05 PDFBibTeX XMLCite \textit{W. Zhang} et al., Nonlinear Anal., Real World Appl. 12, No. 3, 1627--1639 (2011; Zbl 1216.35129) Full Text: DOI
Bekir, Ahmet; Cevikel, Adem C. New solitons and periodic solutions for nonlinear physical models in mathematical physics. (English) Zbl 1196.35178 Nonlinear Anal., Real World Appl. 11, No. 4, 3275-3285 (2010). MSC: 35Q53 35B10 35C08 35C07 PDFBibTeX XMLCite \textit{A. Bekir} and \textit{A. C. Cevikel}, Nonlinear Anal., Real World Appl. 11, No. 4, 3275--3285 (2010; Zbl 1196.35178) Full Text: DOI
Biswas, Anjan; Zerrad, Essaid Solitary wave solution of the Zakharov-Kuznetsov equation in plasmas with power law nonlinearity. (English) Zbl 1196.35179 Nonlinear Anal., Real World Appl. 11, No. 4, 3272-3274 (2010). MSC: 35Q53 35C08 PDFBibTeX XMLCite \textit{A. Biswas} and \textit{E. Zerrad}, Nonlinear Anal., Real World Appl. 11, No. 4, 3272--3274 (2010; Zbl 1196.35179) Full Text: DOI
Zhou, Jiangbo; Tian, Lixin; Fan, Xinghua Solitary-wave solutions to a dual equation of the Kaup-Boussinesq system. (English) Zbl 1196.35197 Nonlinear Anal., Real World Appl. 11, No. 4, 3229-3235 (2010). MSC: 35Q53 35C07 35C08 37K10 37K50 37K40 PDFBibTeX XMLCite \textit{J. Zhou} et al., Nonlinear Anal., Real World Appl. 11, No. 4, 3229--3235 (2010; Zbl 1196.35197) Full Text: DOI arXiv
Özer, Mehmet Naci; Taşcan, Filiz; Koparan, Murat Derivation of Korteweg-de Vries flow equations from modified nonlinear Schrödinger equation. (English) Zbl 1194.35422 Nonlinear Anal., Real World Appl. 11, No. 4, 2619-2623 (2010). MSC: 35Q55 35Q53 37K05 37K10 PDFBibTeX XMLCite \textit{M. N. Özer} et al., Nonlinear Anal., Real World Appl. 11, No. 4, 2619--2623 (2010; Zbl 1194.35422) Full Text: DOI
Zhou, Jiangbo; Tian, Lixin; Fan, Xinghua Soliton, kink and antikink solutions of a 2-component of the Degasperis-Procesi equation. (English) Zbl 1196.35196 Nonlinear Anal., Real World Appl. 11, No. 4, 2529-2536 (2010). MSC: 35Q53 35C07 35C08 37K50 PDFBibTeX XMLCite \textit{J. Zhou} et al., Nonlinear Anal., Real World Appl. 11, No. 4, 2529--2536 (2010; Zbl 1196.35196) Full Text: DOI arXiv
Abbasbandy, S. Homotopy analysis method for the Kawahara equation. (English) Zbl 1181.35224 Nonlinear Anal., Real World Appl. 11, No. 1, 307-312 (2010). MSC: 35Q53 35C07 35C10 35A20 PDFBibTeX XMLCite \textit{S. Abbasbandy}, Nonlinear Anal., Real World Appl. 11, No. 1, 307--312 (2010; Zbl 1181.35224) Full Text: DOI
Clarkson, Peter A. Rational solutions of the classical Boussinesq system. (English) Zbl 1179.35282 Nonlinear Anal., Real World Appl. 10, No. 6, 3360-3371 (2009). MSC: 35Q53 35C11 PDFBibTeX XMLCite \textit{P. A. Clarkson}, Nonlinear Anal., Real World Appl. 10, No. 6, 3360--3371 (2009; Zbl 1179.35282) Full Text: DOI
Molabahrami, A.; Khani, F. The homotopy analysis method to solve the Burgers-Huxley equation. (English) Zbl 1167.35483 Nonlinear Anal., Real World Appl. 10, No. 2, 589-600 (2009). MSC: 35Q53 35C10 65M99 35G20 PDFBibTeX XMLCite \textit{A. Molabahrami} and \textit{F. Khani}, Nonlinear Anal., Real World Appl. 10, No. 2, 589--600 (2009; Zbl 1167.35483) Full Text: DOI
Vaganan, B. Mayil; Kumaran, M. Senthil Kummer function solutions of damped Burgers equations with time-dependent viscosity by exact linearization. (English) Zbl 1156.35466 Nonlinear Anal., Real World Appl. 9, No. 5, 2222-2233 (2008). MSC: 35Q53 35B40 35C05 PDFBibTeX XMLCite \textit{B. M. Vaganan} and \textit{M. S. Kumaran}, Nonlinear Anal., Real World Appl. 9, No. 5, 2222--2233 (2008; Zbl 1156.35466) Full Text: DOI
Tian, Lixin; Fan, Jinling The attractor on viscosity Degasperis-Procesi equation. (English) Zbl 1154.37321 Nonlinear Anal., Real World Appl. 9, No. 4, 1461-1473 (2008). MSC: 37C30 35B41 35Q53 PDFBibTeX XMLCite \textit{L. Tian} and \textit{J. Fan}, Nonlinear Anal., Real World Appl. 9, No. 4, 1461--1473 (2008; Zbl 1154.37321) Full Text: DOI
Zhang, Hai-Qiang; Meng, Xiang-Hua; Li, Juan; Tian, Bo Soliton resonance of the \((2+1)\)-dimensional Boussinesq equation for gravity water waves. (English) Zbl 1147.35090 Nonlinear Anal., Real World Appl. 9, No. 3, 920-926 (2008). MSC: 35Q53 35Q51 37K40 76B15 76B25 PDFBibTeX XMLCite \textit{H.-Q. Zhang} et al., Nonlinear Anal., Real World Appl. 9, No. 3, 920--926 (2008; Zbl 1147.35090) Full Text: DOI
Tian, Lixin; Tian, Ruihua The attractor for the two-dimensional weakly damped KdV equation in belt field. (English) Zbl 1147.35089 Nonlinear Anal., Real World Appl. 9, No. 3, 912-919 (2008). MSC: 35Q53 35B41 37L30 PDFBibTeX XMLCite \textit{L. Tian} and \textit{R. Tian}, Nonlinear Anal., Real World Appl. 9, No. 3, 912--919 (2008; Zbl 1147.35089) Full Text: DOI
Bin, He; Jibin, Li; Yao, Long; Weiguo, Rui Bifurcations of travelling wave solutions for a variant of Camassa-Holm equation. (English) Zbl 1185.35217 Nonlinear Anal., Real World Appl. 9, No. 2, 222-232 (2008). MSC: 35Q53 35Q51 35B10 37K40 35B32 35C05 PDFBibTeX XMLCite \textit{H. Bin} et al., Nonlinear Anal., Real World Appl. 9, No. 2, 222--232 (2008; Zbl 1185.35217) Full Text: DOI
Guardado, Leonardo; Beníte, Felipe; Kaikina, Elena; Ruiz, Francisco; Hernández, Máximo An asymptotic solution to nonlinear transmission lines. (English) Zbl 1136.35078 Nonlinear Anal., Real World Appl. 8, No. 3, 715-724 (2007). MSC: 35Q53 35A35 35C15 PDFBibTeX XMLCite \textit{L. Guardado} et al., Nonlinear Anal., Real World Appl. 8, No. 3, 715--724 (2007; Zbl 1136.35078) Full Text: DOI
Liu, Zhengrong; Long, Yao Compacton-like wave and kink-like wave of GCH equation. (English) Zbl 1106.35065 Nonlinear Anal., Real World Appl. 8, No. 1, 136-155 (2007). MSC: 35Q53 35Q51 37K40 35C07 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{Y. Long}, Nonlinear Anal., Real World Appl. 8, No. 1, 136--155 (2007; Zbl 1106.35065) Full Text: DOI
Rao, Ch. Srinivasa; Sachdev, P. L.; Ramaswamy, Mythily Self-similar solutions of a generalized Burgers equation with nonlinear damping. (English) Zbl 1037.35071 Nonlinear Anal., Real World Appl. 4, No. 5, 723-741 (2003). MSC: 35Q53 37K40 PDFBibTeX XMLCite \textit{Ch. S. Rao} et al., Nonlinear Anal., Real World Appl. 4, No. 5, 723--741 (2003; Zbl 1037.35071) Full Text: DOI