Found 36 Documents (Results 1–36)
Solitons and lumps in the cylindrical Kadomtsev-Petviashvili equation. I: Axisymmetric solitons and their stability. (English) Zbl 1540.35342
Transverse dynamics of two-dimensional traveling periodic gravity-capillary water waves. (English) Zbl 1518.76007
Traveling waves and transverse instability for the fractional Kadomtsev-Petviashvili equation. (English) Zbl 1529.35119
On the full dispersion Kadomtsev-Petviashvili equations for dispersive elastic waves. (English) Zbl 1524.35632
Lump, mixed lump-stripe and rogue wave-stripe solutions of a \((3+1)\)-dimensional nonlinear wave equation for a liquid with gas bubbles. (English) Zbl 1443.76233
MSC:
76T10
Transverse linear stability of line periodic traveling waves for water-wave models. (English) Zbl 1479.35076
The phase shift of line solitons for the KP-II equation. (English) Zbl 1442.35396
Miller, Peter D. (ed.) et al., Nonlinear dispersive partial differential equations and inverse scattering. Papers from the focus program on “Nonlinear Dispersive Partial Differential Equations and Inverse Scattering”, Fields Institute, July 31 – August 18, 2017. New York, NY: Springer; Toronto, ON: The Fields Institute for Research in Mathematical Scienes. Fields Inst. Commun. 83, 433-495 (2019).
Nondegeneracy, Morse index and orbital stability of the KP-I lump solution. (English) Zbl 1428.35458
Transverse stability issues in Hamiltonian PDE. (English) Zbl 1400.37094
Mehrmann, Volker (ed.) et al., European congress of mathematics. Proceedings of the 7th ECM (7ECM) congress, Berlin, Germany, July 18–22, 2016. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-176-7/hbk; 978-3-03719-676-2/ebook). 601-639 (2018).
Global well-posedness of partially periodic KP-I equation in the energy space and application. (English) Zbl 1404.35106
Transverse nonlinear instability of Euler-Korteweg solitons. (English. French summary) Zbl 1375.35458
Transverse instability of periodic and generalized solitary waves for a fifth-order KP model. (English) Zbl 1357.35084
Transverse dynamics of two-dimensional gravity-capillary periodic water waves. (English) Zbl 1356.37082
Stability of line solitons for the KP-II equation in \(\mathbb {R}^2\). (English) Zbl 1329.35056
Mem. Am. Math. Soc. 1125, vii, 95 p. (2015).
Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations. (English) Zbl 1253.35150
Stability and instability of the KdV solitary wave under the KP-I flow. (English) Zbl 1252.35052
Reviewer: Ahmed Lesfari (El Jadida)
Transverse instability of the line solitary water-waves. (English) Zbl 1225.35024
Reviewer: Il’ya Sh. Mogilevskij (Tver’)
Transverse spectral stability of small periodic traveling waves for the KP equation. (English) Zbl 1218.35208
Reviewer: Aleksey Kostenko (Donetsk)
Transverse instability of surface solitary waves. II: Numerical linear stability analysis. (English) Zbl 1197.76056
Exact singular and non-singular solitary-wave solutions for Kadomtsev-Petviashvili equation with \(p\)-power of nonlinearity. (English) Zbl 1197.35221
Global well-posedness of the KP-I initial-value problem in the energy space. (English) Zbl 1188.35163
Numerical study of oscillatory regimes in the Kadomtsev-Petviashvili equation. (English) Zbl 1128.37043
Global well-posedness for the KP-I equation on the background of a non-localized solution. (English) Zbl 1160.35065
Reviewer: Q. P. Liu (Beijing)
Acoustic mode in a two-ion-temperature warm dusty plasma under the weakly transverse perturbations. (English) Zbl 1098.82627
Transverse instability of solitons propagating on current-carrying metal thin films. (English) Zbl 0978.35068
Blow up and instability of solitary-wave solutions to a generalized Kadomtsev-Petviashvili equation. (English) Zbl 0949.35120
Filter Results by …
Document Type
- Journal Articles (33)
- Collection Articles (2)
- Books (1)
all
top 5
Author
- Haragus, Mariana (5)
- Tzvetkov, Nikolay (5)
- Mizumachi, Tetsu (4)
- Rousset, Frédéric (3)
- Klein, Christian (2)
- Saut, Jean-Claude (2)
- Wahlén, Erik (2)
- Yamazaki, Yohei (2)
- Borluk, Handan (1)
- Bradley, R. Mark (1)
- Bruell, Gabriele (1)
- Chen, Robin Ming (1)
- Dai, Zhengde (1)
- Duan, Wenshan (1)
- Erbay, Husnuata A. (1)
- Erbay, Saadet (1)
- Erkip, Albert Kohen (1)
- Guo, Qi (1)
- Hu, Wencheng (1)
- Hu, Zhenhua (1)
- Huang, Ying (1)
- Ionescu, Alexandru D. (1)
- Jin, Jie (1)
- Kataoka, Takeshi (1)
- Kenig, Carlos Eduardo (1)
- Labbé, Stéphane (1)
- Li, Donglong (1)
- Liu, Yong (1)
- Liu, Yue (1)
- Markowich, Peter Alexander (1)
- Molinet, Luc (1)
- Nilsson, Dag Viktor (1)
- Paddick, Matthew (1)
- Paumond, Lionel (1)
- Robert, Tristan (1)
- Shimabukuro, Yusuke (1)
- Sparber, Christof (1)
- Stepanyants, Yury A. (1)
- Sun, Shuming (1)
- Sun, Xing (1)
- Sun, Yan (1)
- Tataru, Daniel (1)
- Tian, Bo (1)
- Truong, Tien (1)
- Wang, Meng (1)
- Wei, Juncheng (1)
- Zhang, Ze (1)
- Zhang, Zhao (1)
all
top 5
Serial
- J. Nonlinear Sci. (3)
- Commun. Math. Phys. (2)
- Chaos Solitons Fractals (2)
- Invent. Math. (2)
- Stud. Appl. Math. (2)
- Ann. Inst. Henri Poincaré, Anal. Non Linéaire (2)
- J. Dyn. Differ. Equations (2)
- Arch. Ration. Mech. Anal. (1)
- Comput. Math. Appl. (1)
- J. Fluid Mech. (1)
- Nonlinearity (1)
- Phys. Lett., A (1)
- Wave Motion (1)
- J. Differ. Equations (1)
- Mem. Am. Math. Soc. (1)
- Q. Appl. Math. (1)
- Trans. Am. Math. Soc. (1)
- Physica D (1)
- Ann. Fac. Sci. Toulouse, Math. (6) (1)
- Chaos (1)
- M2AN, Math. Model. Numer. Anal. (1)
- Discrete Contin. Dyn. Syst., Ser. B (1)
- Math. Control Relat. Fields (1)
- Sémin. Laurent Schwartz, EDP Appl. (1)
- Ann. Appl. Math. (1)
- Water Waves (1)
