Bilinear form and nonlinear waves of a (1+1)-dimensional generalized Boussinesq equation for the gravity waves over water surface
Author
Abstract
Suggested Citation
DOI: 10.1016/j.matcom.2022.02.034
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Matthew H. Alford & Thomas Peacock & Jennifer A. MacKinnon & Jonathan D. Nash & Maarten C. Buijsman & Luca R. Centurioni & Shenn-Yu Chao & Ming-Huei Chang & David M. Farmer & Oliver B. Fringer & Ke-Hs, 2015. "The formation and fate of internal waves in the South China Sea," Nature, Nature, vol. 521(7550), pages 65-69, May.
- Chen, Su-Su & Tian, Bo & Qu, Qi-Xing & Li, He & Sun, Yan & Du, Xia-Xia, 2021. "Alfvén solitons and generalized Darboux transformation for a variable-coefficient derivative nonlinear Schrödinger equation in an inhomogeneous plasma," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
- Shen, Yuan & Tian, Bo & Zhou, Tian-Yu & Gao, Xiao-Tian, 2022. "Shallow-water-wave studies on a (2 + 1)-dimensional Hirota–Satsuma–Ito system: X-type soliton, resonant Y-type soliton and hybrid solutions," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
- Xie, Yingying & Li, Lingfei, 2022. "Multiple-order breathers for a generalized (3+1)-dimensional Kadomtsev–Petviashvili Benjamin–Bona–Mahony equation near the offshore structure," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 193(C), pages 19-31.
- Liu, Lei & Tian, Bo & Wu, Xiao-Yu & Sun, Yan, 2018. "Higher-order rogue wave-like solutions for a nonautonomous nonlinear Schrödinger equation with external potentials," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 524-533.
- Matthew H. Alford & Thomas Peacock & Jennifer A. MacKinnon & Jonathan D. Nash & Maarten C. Buijsman & Luca R. Centurioni & Shenn-Yu Chao & Ming-Huei Chang & David M. Farmer & Oliver B. Fringer & Ke-Hs, 2015. "Correction: Corrigendum: The formation and fate of internal waves in the South China Sea," Nature, Nature, vol. 528(7580), pages 152-152, December.
- D. R. Solli & C. Ropers & P. Koonath & B. Jalali, 2007. "Optical rogue waves," Nature, Nature, vol. 450(7172), pages 1054-1057, December.
- Yang, Dan-Yu & Tian, Bo & Qu, Qi-Xing & Zhang, Chen-Rong & Chen, Su-Su & Wei, Cheng-Cheng, 2021. "Lax pair, conservation laws, Darboux transformation and localized waves of a variable-coefficient coupled Hirota system in an inhomogeneous optical fiber," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
- Wang, Meng & Tian, Bo & Zhou, Tian-Yu, 2021. "Darboux transformation, generalized Darboux transformation and vector breathers for a matrix Lakshmanan-Porsezian-Daniel equation in a Heisenberg ferromagnetic spin chain," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- El-Tantawy, S.A. & Salas, Alvaro H. & Alyousef, Haifa A. & Alharthi, M.R., 2022. "Novel approximations to a nonplanar nonlinear Schrödinger equation and modeling nonplanar rogue waves/breathers in a complex plasma," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
- Shoude Guan & Fei-Fei Jin & Jiwei Tian & I-I Lin & Iam-Fei Pun & Wei Zhao & John Huthnance & Zhao Xu & Wenju Cai & Zhao Jing & Lei Zhou & Ping Liu & Yihan Zhang & Zhiwei Zhang & Chun Zhou & Qingxuan Y, 2024. "Ocean internal tides suppress tropical cyclones in the South China Sea," Nature Communications, Nature, vol. 15(1), pages 1-12, December.
- Zhang, Yu & Li, Chuanzhong & He, Jingsong, 2016. "Rogue waves in a resonant erbium-doped fiber system with higher-order effects," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 826-841.
- Seadawy, Aly R. & Ali, Safdar & Rizvi, Syed T.R., 2022. "On modulation instability analysis and rogue waves in the presence of external potential: The (n + 1)-dimensional nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
- Xi-zhong Liu & Zhi-Mei Lou & Xian-Min Qian & Lamine Thiam, 2019. "A Study on Lump and Interaction Solutions to a (3 + 1)-Dimensional Soliton Equation," Complexity, Hindawi, vol. 2019, pages 1-12, October.
- Ngondiep, Eric, 2024. "A high-order combined finite element/interpolation approach for multidimensional nonlinear generalized Benjamin–Bona–Mahony–Burgers equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 215(C), pages 560-577.
- Li, Lingfei & Yan, Yongsheng & Xie, Yingying, 2022. "Rational solutions with non-zero offset parameters for an extended (3 + 1)-dimensional BKP-Boussinesq equation," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
- Alexandra Völkel & Luca Nimmesgern & Adam Mielnik-Pyszczorski & Timo Wirth & Georg Herink, 2022. "Intracavity Raman scattering couples soliton molecules with terahertz phonons," Nature Communications, Nature, vol. 13(1), pages 1-6, December.
- Triki, Houria & Sun, Yunzhou & Zhou, Qin & Biswas, Anjan & Yıldırım, Yakup & Alshehri, Hashim M., 2022. "Dark solitary pulses and moving fronts in an optical medium with the higher-order dispersive and nonlinear effects," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
- Xu, Yun-Jie, 2023. "Vector ring-like combined Akhmediev breathers for partially nonlocal nonlinearity under external potentials," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
- Chen, Yi-Xiang, 2024. "(3+1)-dimensional partially nonlocal ring-like bright-dark monster waves," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
- Zhang, Yi & Sun, YanBo & Xiang, Wen, 2015. "The rogue waves of the KP equation with self-consistent sources," Applied Mathematics and Computation, Elsevier, vol. 263(C), pages 204-213.
- Wei, Peng-Fei & Long, Chun-Xiao & Zhu, Chen & Zhou, Yi-Ting & Yu, Hui-Zhen & Ren, Bo, 2022. "Soliton molecules, multi-breathers and hybrid solutions in (2+1)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramani equation," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
- Yue-jun Deng & Rui-yu Jia & Ji Lin, 2019. "Lump and Mixed Rogue-Soliton Solutions of the (2 + 1)-Dimensional Mel’nikov System," Complexity, Hindawi, vol. 2019, pages 1-9, November.
- Jiang, Yan & Qu, Qi-Xing, 2021. "Solitons and breathers for a generalized nonlinear Schrödinger equation via the binary Bell polynomials," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 179(C), pages 57-68.
- Bo Ren & Ji Lin & Zhi-Mei Lou, 2019. "A New Nonlinear Equation with Lump-Soliton, Lump-Periodic, and Lump-Periodic-Soliton Solutions," Complexity, Hindawi, vol. 2019, pages 1-10, June.
- Singh, Shailendra & Saha Ray, S., 2023. "Integrability and new periodic, kink-antikink and complex optical soliton solutions of (3+1)-dimensional variable coefficient DJKM equation for the propagation of nonlinear dispersive waves in inhomog," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
- He, Chun-Hui & Liu, Chao, 2023. "Variational principle for singular waves," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
- Wang, Haotian & Li, Xin & Zhou, Qin & Liu, Wenjun, 2023. "Dynamics and spectral analysis of optical rogue waves for a coupled nonlinear Schrödinger equation applicable to pulse propagation in isotropic media," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
- Cao, Qi-Hao & Geng, Kai-Li & Zhu, Bo-Wei & Wang, Yue-Yue & Li, Ji-tao & Dai, Chao-Qing, 2023. "Annular rogue waves in whispering gallery mode optical resonators," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
More about this item
Keywords
Gravity waves; Bilinear form; Rogue waves; Breathers; Solitons; Kadomtsev–Petviashvili hierarchy reduction;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matcom:v:198:y:2022:i:c:p:494-508. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.