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Advances in Applied Mathematics and Mechanics
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  • Shape Analysis and Solution to a Class of Nonlinear Wave Equation with Cubic Term

    Xiang Li, Weiguo Zhang, Yan Zhao
    2012-04-01
    41348 4248 Pages:559-574
  • Constructing Separable Non-$2\pi$-Periodic Solutions to the Navier-Lamé Equation in Cylindrical Coordinates Using the Buchwald Representation: Theory and Applications

    Jamal Sakhr, Blaine A. Chronik
    2020-04-10
    50195 3206 Pages:694-728
  • Solving the Navier-Lamé Equation in Cylindrical Coordinates Using the Buchwald Representation: Some Parametric Solutions with Applications

    Jamal Sakhr, Blaine A. Chronik
    2018-09-17
    47592 3452 Pages:1025-1056
  • Mathematical Models for the Propagation of Stress Waves in Elastic Rods: Exact Solutions and Numerical Simulation

    H. M. Tenkam, M. Shatalov, I. Fedotov, R. Anguelov
    2018-05-05
    40828 3046 Pages:257-270
  • Inverse Scattering Transform and Soliton Solutions for the Hirota Equation with $N$ Distinct Arbitrary Order Poles

    Xiaofan Zhang, Shoufu Tian & Jinjie Yang
    2022-04-11
    45043 3573 Pages:893-913
  • Application of Improved (G'/G)–Expansion Method to Traveling Wave Solutions of Two Nonlinear Evolution Equations

    Xiaohua Liu, Weiguo Zhang, Zhengming Li
    2012-04-01
    42681 4694 Pages:122-130
  • Exact Solutions for the Flow of Fractional Maxwell Fluid in Pipe-Like Domains

    Vatsala Mathur, Kavita Khandelwal
    2018-05-05
    42577 2973 Pages:784-794
  • Harmonic Standing-Wave Excitations of Simply-Supported Thick-Walled Hollow Elastic Circular Cylinders: Exact 3D Linear Elastodynamic Response

    Jamal Sakhr, Blaine A. Chronik
    2020-10-20
    49849 4473 Pages:18-57
  • On the Selection of a Good Shape Parameter of the Localized Method of Approximated Particular Solutions

    Hui Zheng, Guangming Yao, Lei-Hsin Kuo, Xinxiang Li
    2018-09-17
    49279 3589 Pages:896-911
  • Robust and Globally Divergence-Free Weak Galerkin Methods for Oseen Equations

    Lingxia Kong, Ya Min, Minfu Feng, Xiaoyu Fu
    2025-10-29
    4471 125 Pages:411-433
  • Interacting Stress Intensity Factors of Multiple Elliptical-Holes and Cracks Under Far-Field and Arbitrary Surface Stresses

    Wei Yi, Qiuhua Rao, Wei Zhu, Qingqing Shen, Zhuo Li, Wenbo Ma
    2021-11-18
    50261 4416 Pages:125-154
  • Exact Solutions for Fractional Differential-Difference Equations by (G′/G)-Expansion Method with Modified Riemann-Liouville Derivative

    Ahmet Bekir, Ozkan Guner, Burcu Ayhan, Adem C. Cevikel
    2018-05-05
    40779 3011 Pages:293-305
  • The Eigenfunctions and Exact Solutions of Discrete mKdV Hierarchy with Self-Consistent Sources via the Inverse Scattering Transform

    Q. Li, J. B. Zhang, D. Y. Chen
    2018-05-05
    42105 3018 Pages:663-674
  • Exact Vibration Solutions of Nonhomogeneous Circular, Annular and Sector Membranes

    Chang Yi Wang, Wang Chien Ming
    2018-08-10
    41961 4335 Pages:250-258
  • A New Robust High-Order Weighted Essentially Non-Oscillatory Scheme for Solving Well-Balanced Shallow Water Equations

    Zhenming Wang, Jun Zhu, Ning Zhao
    2019-06-24
    44516 3089 Pages:911-941
  • Exact and Approximate Values of the Period for a "Truly Nonlinear" Oscillator: $\ddot{x} + x + x^{1/3} = 0$

    Ronald E. Mickens, Dorian Wilkerson
    2018-08-10
    102 65 Pages:383-390
  • Error Estimation and Stress Recovery by Patch Equilibrium in the ‎‎Isogeometric Analysis Method

    Ahmad Ganjali, Behrooz Hassani, Masoud Mahdizadeh Rokhi
    2020-07-24
    49572 3205 Pages:1079-1112
  • Nonlinear Oscillations Analysis of the Elevator Cable in a Drum Drive Elevator System

    H. Askari, D. Younesian, Z. Saadatnia
    2018-03-29
    42718 4641 Pages:43-57
  • Travelling Wave Solutions to the Zhiber-Shabat and Related Equations Using Rational Hyperbolic Method

    Amin Gholami Davodi, Davood Domiri Ganji
    2010-02-01
    42647 4642 Pages:118-130
  • Stokes Flows Imposed Constant Navier Slip Length on Boundary for Domains of Simple Geometry

    Zhan-Rui Qiu, Wei-Dong Su
    2025-05-12
    8363 502 Pages:1171-1203
  • Semidefinite Optimization Estimating Bounds on Linear Functionals Defined on Solutions of Linear ODEs

    Guangming Zhou, Chao Deng, Kun Wu
    2018-05-05
    41527 3078 Pages:599-615
  • A Novel Wavelet-Homotopy Galerkin Method for Unsteady Nonlinear Wave Equations

    Yue Zhou, Hang Xu
    2023-04-11
    37516 3085 Pages:964-983
  • Analysis of Functionally Graded Piezoelectric Cylinders in a Hygrothermal Environment

    M. N. M. Allam, A. M. Zenkour, R. Tantawy
    2014-06-01
    43103 4286 Pages:233-246
  • Calculation of Four-Dimensional Unsteady Gas Flow via Different Quadrature Schemes and Runge-Kutta 4th Order Method

    M. Salah, M. S. Matbuly, O. Civalek, Ola Ragb
    2024-01-04
    55158 3150 Pages:437-458
  • Transient Diffusion in Triangular Cylinders

    C. Y. Wang
    2021-07-01
    41585 4089 Pages:818-826
  • Jacobi Spectral Galerkin Methods for a Class of Nonlinear Weakly Singular Volterra Integral Equations

    Kapil Kant, Moumita Mandal, Gnaneshwar Nelakanti
    2021-06-08
    45281 3196 Pages:1227-1260
  • A Solver for Helmholtz System Generated by the Discretization of Wave Shape Functions

    Long Yuan, Qiya Hu
    2021-07-01
    43659 4348 Pages:791-808
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