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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. equation id-i-eq1"> equation-source format-t-e-x" xmlns:search="http://marklogic.com/appservices/search">\(\varvec{L^1-L^1}\) estimates for a doubly dissipative semilinear wave equation

作者： Marcello D’Abbicco

关键词：Dissipative wave equation ; Critical exponent ; Global small data solutions ; Power nonlinearity ; \(L^1 ; L^1\) ; estimates

刊名：Nonlinear Differential Equations and Applications NoDEA

出版年：2017

3. Quasi-periodic wave solutions and two-wave solutions of the KdV–Sawada–Kotera–Ramani equation

作者： Lijun Zhang ; Chaudry Masood Khalique

关键词：The KdV–Sawada–Kotera–Ramani equation ; Two ; wave solutions ; Quasi ; periodic solutions

刊名：Nonlinear Dynamics

出版年：2017

4. 1-Soliton and peaked solitary wave solutions of nonlinear longitudinal wave equation in magneto–electro–elastic circular rod

作者： Shaojie Yang ; Tianzhou Xu

关键词：1 ; soliton ; Peaked solitary wave ; Soliton ansatz ; Nonlinear longitudinal wave equation ; Magneto–electro–elastic circular rod

刊名：Nonlinear Dynamics

出版年：2017

5. The Cauchy problem for the nonlinear damped wave equation with slowly decaying data

作者： Masahiro Ikeda ; Takahisa Inui ; Yuta Wakasugi

关键词：Nonlinear damped wave equation ; Slowly decaying data ; Global well ; posedness ; Asymptotic behavior ; Blow ; up ; Estimates of lifespan

刊名：Nonlinear Differential Equations and Applications NoDEA

出版年：2017

6. 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

7. Solving nonlinear Volterra integro-differential equations of fractional order by using Euler wavelet method

作者： Yanxin Wang ; Li Zhu

关键词：Volterra integro ; differential equations ; Euler wavelet ; operational matrix ; Caputo derivative ; numerical solution

刊名：Advances in Difference Equations

出版年：2017

8. Dynamical behaviours and exact travelling wave solutions of modified generalized Vakhnenko equation

作者： JUNJUN XIAO ; DAHE FENG ; XIA MENG ; YUANQUAN CHENG

关键词：Modified generalized Vakhnenko equation ; cusped solitons ; loop solitons ; periodic cusp wave solutions ; smooth periodic wave solutions ; pseudopeakon solitons ; smooth soliton solutions

刊名：Pramana

出版年：2017

9. On controlled propagation of long waves in nonautonomous Boussinesq–Burgers equations

作者： H. I. Abdel-Gawad ; M. Tantawy

关键词：Boussinesq–Burgers equations (BBEs) ; Traveling wave solutions (TWS) ; Controlled long waves

刊名：Nonlinear Dynamics

出版年：2017

10. Controllable behaviors of nonautonomous solitons on background of continuous wave and cnoidal wave in equation id-i-eq1"> equation-source format-t-e-x" xmlns:search="http://marklogic.com/appservices/search">\(\mathcal {PT}\) -symmetric dimer with inhomogeneous effect

作者： Mei-Zhen Jin ; Jie-Fang Zhang

关键词：\(\mathcal {PT}\) ; symmetry ; Variable ; coefficient coupled nonlinear Schrödinger equation ; Nonautonomous soliton ; Background wave

刊名：Nonlinear Dynamics

出版年：2017

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