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1. Bilinear Bäcklund transformation, soliton and periodic wave solutions for a equation id-i-eq1"> equation-source format-t-e-x" xmlns:search="http://marklogic.com/appservices/search">\(\varvec{(3 + 1)}\) -dimensional variable-coefficient generalized shallow water wave equation

作者： Qian-Min Huang ; Yi-Tian Gao ; Shu-Liang Jia ; Ya-Le Wang ; Gao-Fu Deng

关键词：(3 + 1) ; dimensional variable ; coefficient generalized shallow water wave equation ; Bell polynomials ; Bilinear forms ; Bäcklund transformation ; Soliton solutions ; Periodic wave solutions

刊名：Nonlinear Dynamics

出版年：2017

2. Nonlinear interaction of solitary waves described by multi-rational wave solutions of the (2 equation id-i-eq1"> equation-source format-t-e-x" xmlns:search="http://marklogic.com/appservices/search">\(+\) 1)-dimensional Kadomtsev–Petviashvili equation with variable coefficients

作者： M. S. Osman

关键词：The generalized unified method ; Variable coefficients ; The ( 2 \(+\) ; 1) ; dimensional Kadomtsev–Petviashvili equation ; Multi ; rational solutions

刊名：Nonlinear Dynamics

出版年：2017

3. Riemann theta solutions and their asymptotic property for a (3equation id-i-eq1"> equation-source format-t-e-x" xmlns:search="http://marklogic.com/appservices/search">\(+\) 1)-dimensional water wave equation

作者： Yiren Chen ; Zhengrong Liu

关键词：(3+1) ; Dimensional equation ; Bell polynomials ; Hirota bilinear equation ; Riemann theta solution ; Asymptotic property

刊名：Nonlinear Dynamics

出版年：2017

4. The Riemann–Bäcklund method to a quasiperiodic wave solvable generalized variable coefficient (equation id-i-eq1"> equation-source format-t-e-x" xmlns:search="http://marklogic.com/appservices/search">\(\varvec{2+1}\) )-dimensional KdV equation

作者： Zhonglong Zhao ; Bo Han

关键词：A generalized variable coefficient (\(2+1\)) ; dimensional Korteweg–de Vries equation ; Bäcklund transformation ; Soliton solutions ; Quasiperiodic wave solutions

刊名：Nonlinear Dynamics

出版年：2017

5. Non-polynomial spline method for the solution of two-dimensional linear wave equations with a nonlinear source term

作者： Homa Zadvan ; Jalil Rashidinia

关键词：Non ; polynomial spline approximation ; Two ; dimensional wave equation ; Stability analysis ; Sine ; Gordon equation

刊名：Numerical Algorithms

出版年：2017

6. Lump solutions to the (equation id-i-eq1"> equation-source format-t-e-x" xmlns:search="http://marklogic.com/appservices/search">\(\mathbf 2+1 \) )-dimensional Sawada–Kotera equation

作者： Hai-Qiang Zhang ; Wen-Xiu Ma

关键词：Lump solution ; Bilinear equations ; (\(2+1\)) ; dimensional Sawada–Kotera equation

刊名：Nonlinear Dynamics

出版年：2017

7. Schwarz waveform relaxation method for one-dimensional Schrödinger equation with general potential

作者： Christophe Besse ; Feng Xing

关键词：Schrödinger equation ; Schwarz waveform relaxation method ; Absorbing boundary conditions ; Parallel algorithms

刊名：Numerical Algorithms

出版年：2017

8. Equation for wave processes in inhomogeneous moving media and functional solution of the acoustic tomography problem based on it

作者： O. D. Rumyantseva ; A. S. Shurup

关键词：inhomogeneous moving medium ; inhomogeneity of the sound velocity ; inhomogeneity of absorption ; inhomogeneity of density ; vector field of flows ; wave equation and Helmholtz equation

刊名：Acoustical Physics

出版年：2017

9. Quasi-periodic solutions of forced Kirchhoff equation

作者： Riccardo Montalto

关键词：Kirchhoff equation ; Quasi ; linear PDEs ; Quasi ; periodic solutions ; Infinite ; dimensional dynamical systems ; KAM for PDEs ; Nash–Moser theory

刊名：Nonlinear Differential Equations and Applications NoDEA

出版年：2017

10. Break-down criterion for the water-wave equation

作者： Chao Wang ; ZhiFei Zhang

关键词：water ; wave ; free surface ; blow ; up criterion

刊名：Science China Mathematics

出版年：2017

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