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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The N-periodic wave solutions of some coupled bilinear equations
耦合 双线性方程 N周期波解
2023/4/26
In this talk, we present an efficient numerical scheme to calculate the N-periodic wave solutions to the Tzitzeica equation, the (2+1)-dimensional modified Bogoyavlenskii-Schiff equation and the mKdV-...
Spectral stability of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation in the Korteweg-de Vries limit
Spectral stability periodic wave trains Korteweg-de Vries/Kuramoto-Sivashinsky equation Korteweg-de Vries limit
2012/3/1
We study the spectral stability of a family of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation $ \partial_t v+v\partial_x v+\partial_x^3 v+\delta(\partial_x^2 v +\partial_x...
Solitary and periodic wave solutions in quadratic nonlinear media
solitary waves periodic waves the theory of dynamical systems
2011/10/20
By using the theory of dynamical systems, solitary and periodic wave solutions for a coupled quadratic nonlinear system are studied.
A Riemann theta function formula with its application to double periodic wave solutions of nonlinear equations
Riemann theta function Hirota's bilinear form nonlinear equations
2010/4/1
Based on a Riemann theta function and Hirota's bilinear form, a lucid and straightforward way is presented to explicitly construct double periodic wave solutions for both nonlinear differential and di...
Explicit quasi-periodic wave solutions and asymptotic analysis to the supersymmetric Ito's equation
quasi-periodic wave super-Hirota bilinear asymptotic analysis
2010/4/1
Based on a Riemann theta function and the super-Hirota bilinear form, we propose a key formula for explicitly constructing quasi-periodic wave solutions of the supersymmetric Ito's equation in supersp...
Bilinear approach to the quasi-periodic wave solutions of supersymmetric equations in superspace
quasi-periodic wave superspace supersymmetric equations
2010/4/1
We devise a lucid and straightforward way for explicitly constructing quasi-periodic wave solutions (also called multi-periodic wave solutions) of supersymmetric equations in superspace $\mathbb{R}_\L...
Localized Excitations of (2+1)-Dimensional Korteweg-de Vries System Derived from a Periodic Wave Solution
improved projective approach KdV system chaos soliton fractal
2007/8/15
2007Vol.47No.2pp.275-281DOI:
Localized Excitations of (2+1)-Dimensional Korteweg-de Vries System Derived from a Periodic Wave Solution
QIANG Ji-Ye,1,2 FEI Jin-Xi,1 CAI Gui-Ping,3...
New Explicit Solitary Wave Solutions and Periodic Wave Solutions for the Generalized Coupled Hirota-Satsuma KdV System
coupled Hirota-Satsuma KdV system KP equation homogeneous balance method
Riccati equation solitary wave solution periodic wave solution
2007/8/15
2002Vol.38No.3pp.261-266DOI:
New Explicit Solitary Wave Solutions and Periodic Wave Solutions for the Generalized Coupled Hirota-Satsuma KdV System
CHEN Yong, YAN Zhen-Ya, LI Biao...
Extended F-Expansion Method and Periodic Wave Solutionsfor Klein-Gordon-Schrödinger Equations
Klein-Gordon-Schrö dinger equations F-expansion method
periodic wave solutions Jacobi elliptic functions
solitary wave solutions
2007/8/15
2006Vol.45No.1pp.9-14DOI:
Extended F-Expansion Method and Periodic Wave Solutionsfor Klein-Gordon-Schrödinger Equations
LI Xiao-Yan,1 LI Xiang-Zheng,1 and WANG Ming-Liang1,2
...
The Periodic Wave Solutions for Two Nonlinear Evolution Equations
nonlinear evolution equation F-expansion method
Jacobi elliptic function solitary wave solution
2007/8/15
2003Vol.40No.2pp.129-132DOI:
The Periodic Wave Solutions for Two Nonlinear Evolution Equations
ZHANG Jin-Liang,1 WANG Ming-Liang,2,3 CHENG Dong-Ming,2 and FANG Zong-De1
...
Applications of F-expansion to Periodic Wave Solutions for Variant Boussinesq Equations
F-expansion variant Boussinesq equations periodic wave solutions Jacobi elliptic functions solitary wave solutions
2007/8/15
2005Vol.44No.3pp.396-400DOI:
Applications of F-expansion to Periodic Wave Solutions for Variant Boussinesq Equations
WANG Yue-Ming,1 LI Xiang-Zheng,1 YANG Sen,1
and WANG Ming-Lian...
Rational Form Solitary Wave Solutions and Doubly Periodic Wave Solutions to(1+1)-Dimensional Dispersive Long Wave Equation
elliptic equation rational expansion method rational form solitary wave solutions
rational form Jacobi and Weierstrass doubly periodic wave solutions
2007/8/15
2005Vol.43No.6pp.975-982DOI:
Rational Form Solitary Wave Solutions and Doubly Periodic Wave Solutions to(1+1)-Dimensional Dispersive Long Wave Equation
WANG Qi,1 CHEN Yong,2,3 and...
Periodic Wave Solutions to Dispersive Long-Wave Equations in
(2+1)-Dimensional Space
dispersive long-wave equations $F$-expansion method
periodic wave solutions Jacobi elliptic functions solitary wave solutions
2007/8/15
2005Vol.44No.1pp.8-10DOI:
Periodic Wave Solutions to Dispersive Long-Wave Equations in
(2+1)-Dimensional Space
TIAN Ying-Hui,1 CHEN Han-Lin,1 and LIU Xi-Qiang2
1 School ...
Exact Periodic-Wave Solutions to Nizhnik-Novikov-Veselov Equation
extended Jacobi elliptic-function method NNV equation
periodic-wave solutions
2007/8/15
2004Vol.41No.5pp.719-722DOI:
Exact Periodic-Wave Solutions to Nizhnik-Novikov-Veselov Equation
ZHAO Qiang, LIU Shi-Kuo, and FU Zun-Tao
School of Physics, Peking Univers...
Solitary Wave and Periodic Wave Solutions for the Relativistic Toda Lattices
tanh-method solitary wave and periodic wave solutions
differential-difference equation Toda lattice
2007/8/15
2005Vol.43No.1pp.27-30DOI:
Solitary Wave and Periodic Wave Solutions for the Relativistic Toda Lattices
MA Zheng-Yi,1,2 ZHU Jia-Min,1 and ZHENG
Chun-Long1,2
1 Departme...