Periodic wave solutions and their limits for the modified KdV-KP equations

Verfasser / Beitragende:
[Ming Song, Zheng Liu, Chen Yang]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/6(2015-06-01), 1043-1056
Format:
Artikel (online)
ID: 605461058
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024 7 0 |a 10.1007/s10114-015-3362-1  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10114-015-3362-1 
245 0 0 |a Periodic wave solutions and their limits for the modified KdV-KP equations  |h [Elektronische Daten]  |c [Ming Song, Zheng Liu, Chen Yang] 
520 3 |a In this paper, we use the bifurcation method of dynamical systems to study the periodic wave solutions and their limits for the modified KdV-KP equations. Some explicit periodic wave solutions are obtained. These solutions contain smooth periodic wave solutions and periodic blow-up solutions. Their limits contain solitary wave solutions, periodic wave solutions, kink wave solutions and unbounded solutions. 
540 |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 
690 7 |a Bifurcation method  |2 nationallicence 
690 7 |a modified KdV-KP equation  |2 nationallicence 
690 7 |a periodic wave solutions  |2 nationallicence 
690 7 |a limits  |2 nationallicence 
700 1 |a Song  |D Ming  |u Department of Mathematics, Shaoxing University, 312000, Shaoxing, P. R. China  |4 aut 
700 1 |a Liu  |D Zheng  |u Department of Mathematics, South China University of Technology, 510640, Guangzhou, P. R. China  |4 aut 
700 1 |a Yang  |D Chen  |u Department of Mathematics, Yuxi Normal University, 653100, Yuxi, P. R. China  |4 aut 
773 0 |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/6(2015-06-01), 1043-1056  |x 1439-8516  |q 31:6<1043  |1 2015  |2 31  |o 10114 
856 4 0 |u https://doi.org/10.1007/s10114-015-3362-1  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10114-015-3362-1  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Song  |D Ming  |u Department of Mathematics, Shaoxing University, 312000, Shaoxing, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Liu  |D Zheng  |u Department of Mathematics, South China University of Technology, 510640, Guangzhou, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Yang  |D Chen  |u Department of Mathematics, Yuxi Normal University, 653100, Yuxi, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/6(2015-06-01), 1043-1056  |x 1439-8516  |q 31:6<1043  |1 2015  |2 31  |o 10114