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This thesis is concerned with the Cauchy problem for the quadratic derivative nonlinear wave equation in two spatial dimensions. Using standard techniques, we reduce local well-posedness in Fourier Le...
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...
We study a semilinear equation with derivatives satisfying a null condition on slowly rotating Kerr spacetimes. We prove that given sufficiently small initial data, the solution exists globally in tim...
This paper is concerned with the analysis of the Cauchy problem of a general class of two-dimensional nonlinear nonlocal wave equations governing antiplane shear motions in nonlocal elasticity.
In this paper we introduce some new concepts for second-order hyperbolic equations: two-point boundary value problem, global exact controllability and exact controllability. For several kinds of impor...
2001Vol.35No.6pp.647-650DOI: Similarity Reduction and Integrability for the Nonlinear Wave Equations from EPM Model YAN Zhen-Ya Department of Applied Mathematics, ...
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,...
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...
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,...
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...
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 ...
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...
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,...
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 ...

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