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Complete group classification of a class of nonlinear wave equations
Complete group classification nonlinear wave equations Analysis of PDEs
2011/7/26
Abstract: Preliminary group classification became prominent as an approach to symmetry analysis of differential equations due to the paper by Ibragimov, Torrisi and Valenti [J. Math. Phys. 32, 2988-29...
Similarity Reduction and Integrability for the Nonlinear Wave
Equations from EPM Model
nonlinear wave equation
similarity reduction integrability
2007/8/15
2001Vol.35No.6pp.647-650DOI:
Similarity Reduction and Integrability for the Nonlinear Wave
Equations from EPM Model
YAN Zhen-Ya
Department of Applied Mathematics,
...
Symbolic Computation Study of (2+1)-Dimensional Dispersive
Long Wave Equations
dispersive long wave equations symbolic
computation exact solution localized structure
2007/8/15
2006Vol.46No.2pp.199-202DOI:
Symbolic Computation Study of (2+1)-Dimensional Dispersive
Long Wave Equations
LÜ Zhuo-Sheng1,2 and XIE Fu-Ding2,3
1 School of Science,...
New Exact Solutions to Dispersive Long-Wave Equations in
(2+1)-Dimensional Space
dispersive long-wave equations modified F-expansion
method exact solutions Jacobi elliptic functions
2007/8/15
2006Vol.45No.2pp.207-210DOI:
New Exact 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 o...
Solving Nonlinear Wave Equations by Elliptic Equation
elliptic equation Jacobi elliptic function nonlinear equation
periodic wave solution
2007/8/15
2003Vol.39No.5pp.531-536DOI:
Solving Nonlinear Wave Equations by Elliptic Equation
FU Zun-Tao,1,2 LIU Shi-Da,1,2 and LIU Shi-Kuo1
1 School of Physics, Peking University,...
Classification and Functional Separable Solutions to
Extended Nonlinear Wave Equations
nonlinear wave equations functional separable solutions
generalized conditional symmetry
2007/8/15
2005Vol.44No.4pp.589-596DOI:
Classification and Functional Separable Solutions to
Extended Nonlinear Wave Equations
ZHANG Shun-Li,1,2,3 LOU Sen-Yue,3,4
QU Chang-Zheng,2 and YUE R...
A New Approach to Solve Nonlinear Wave Equations
sine-Gordon equation Jacobi elliptic function nonlinear wave equation periodic wave solution solitary wave solution
2007/8/15
2003Vol.39No.1pp.27-30DOI:
A New Approach to Solve Nonlinear Wave Equations
FU Zun-Tao, LIU Shi-Kuo, and LIU Shi-Da
School of Physics, Peking University, Beijing 100871,...
Extended Group Foliation Method and Functional Separation
of Variables to Nonlinear Wave Equations
symmetry group group foliation method nonlinear
wave equation functional separation of variables
2007/8/15
2005Vol.44No.4pp.577-582DOI:
Extended Group Foliation Method and Functional Separation
of Variables to Nonlinear Wave Equations
QU Chang-Zheng and ZHANG Shun-Li
Center f...
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 ...
New Rational Form Solutions to Coupled Nonlinear Wave Equations
elliptic equation Jacobi elliptic function nonlinear coupled equations
periodic wave solution rational form
2007/8/15
2005Vol.44No.2pp.235-242DOI:
New Rational Form Solutions to Coupled Nonlinear Wave Equations
FU Zun-Tao,1,2 LIN Guang-Xing,1 LIU Shi-Kuo,1 and LIU Shi-Da1,2
1 School of ...
Elliptic Equation and Its Direct Applications to Nonlinear Wave Equations
elliptic equation Jacobi elliptic function
nonlinear equation periodic wave solution
2007/8/15
2004Vol.41No.5pp.675-680DOI:
Elliptic Equation and Its Direct Applications to Nonlinear Wave Equations
FU Zun-Tao,1,2 CHEN
Zhe,1 LIU
Shi-Da,1,2 and LIU
Shi-Kuo1
1 Sch...
New Exact Solutions to (2+1)-Dimensional Dispersive Long
Wave Equations
further extended tanh method (2+1)-dimensional dispersive
long wave equations soliton-like solution
2007/8/15
2004Vol.42No.6pp.811-813DOI:
New Exact Solutions to (2+1)-Dimensional Dispersive Long
Wave Equations
ZHI Hong-Yan,1 LÜ Zhuo-Sheng,1,2 and ZHANG Hong-Qing1,2
1 Depar...
Variable Separation and Derivative-Dependent Functional Separable
Solutions to Generalized Nonlinear Wave Equations
variable separation nonlinear wave derivative-dependent
functional separable solution
2007/8/15
2004Vol.41No.2pp.161-174DOI:
Variable Separation and Derivative-Dependent Functional Separable
Solutions to Generalized Nonlinear Wave Equations
ZHANG Shun-Li1,2 and LOU Sen-Yue1,...
Complex Tanh-Function Expansion Method and Exact Solutions to Two Systems of Nonlinear Wave Equations
Zakharov system long-short-wave interaction system
complex tanh-function expansion method exact solution
2007/8/15
2004Vol.42No.4pp.491-493DOI:
Complex Tanh-Function Expansion Method and Exact Solutions to Two Systems of Nonlinear Wave Equations
ZHANG Jin-Liang1 and WANG Ming-Liang1,2
...
A Physical Space Approach to Bilinear Wave Equations Estimates
Bilinear Wave Equations Estimates Space
2014/4/3
A paper written in collaboration with I. Rodnianski and T. Tao in which we expereiment with new proofs of bilinear estimates which have the potential to generalize to quasilinear equations.