Publications (58) Angel Duran Martin publications

2024

  1. Derivation and well-posedness for asymptotic models of cold plasmas

    Nonlinear Analysis, Theory, Methods and Applications, Vol. 244

  2. Mathematical properties and numerical approximation of pseudo-parabolic systems

    Computers and Mathematics with Applications, Vol. 165, pp. 163-179

  3. On solitary-wave solutions of Rosenau-type equations

    Communications in Nonlinear Science and Numerical Simulation, Vol. 137

  4. Spectral Jacobi approximations for Boussinesq systems

    Studies in Applied Mathematics

2023

  1. A preliminary depth-integrated model for tsunamis propagation including water compressibility and seafloor elasticity

    European Journal of Mechanics, B/Fluids, Vol. 99, pp. 84-97

  2. On the numerical approximation of Boussinesq/Boussinesq systems for internal waves

    Numerical Methods for Partial Differential Equations, Vol. 39, Núm. 5, pp. 3677-3704

  3. Solitary-Wave Solutions of Benjamin–Ono and Other Systems for Internal Waves: II. Dynamics

    Water Waves, Vol. 5, Núm. 2-3, pp. 161-190

2022

  1. A high-order fully discrete scheme for the Korteweg-de Vries equation with a time-stepping procedure of Runge-Kutta-composition type

    IMA Journal of Numerical Analysis, Vol. 42, Núm. 4, pp. 3022-3057

  2. On Some Boussinesq/Full Dispersion Systems for Internal Waves: Numerical Solution and Solitary Waves

    Water Waves, Vol. 4, Núm. 2, pp. 193-237

2021

  1. On solitary-wave solutions of Boussinesq/Boussinesq systems for internal waves

    Physica D: Nonlinear Phenomena, Vol. 428

  2. Spectral discretizations analysis with time strong stability preserving properties for pseudo-parabolic models

    Computers and Mathematics with Applications, Vol. 102, pp. 15-44

2020

  1. On nonparaxial nonlinear Schrödinger-type equations

    Journal of Computational and Applied Mathematics, Vol. 373

  2. SOLITARY-WAVE SOLUTIONS of BENJAMIN-ONO and OTHER SYSTEMS for INTERNAL WAVES. I. APPROXIMATIONS

    Discrete and Continuous Dynamical Systems- Series A, Vol. 41, Núm. 1, pp. 87-111

2019

  1. Numerical approximation to Benjamin type equations. Generation and stability of solitary waves

    Wave Motion, Vol. 85, pp. 34-56

  2. On a nonlocal boussinesq system for internal wave propagation

    SEMA SIMAI Springer Series (Springer International Publishing), pp. 121-139

  3. On the multi-symplectic structure of Boussinesq-type systems. I: Derivation and mathematical properties

    Physica D: Nonlinear Phenomena, Vol. 388, pp. 10-21

  4. On the multi-symplectic structure of Boussinesq-type systems. II: Geometric discretization

    Physica D: Nonlinear Phenomena, Vol. 397, pp. 1-16

2018

  1. An efficient method to compute solitary wave solutions of fractional Korteweg–de Vries equations

    International Journal of Computer Mathematics, Vol. 95, Núm. 6-7, pp. 1362-1374

  2. On the Numerical Approximation to Generalized Ostrovsky Equations: I: A Numerical Method and Computation of Solitary-Wave Solutions

    Understanding Complex Systems (Springer Verlag), pp. 339-368

  3. On the Numerical Approximation to Generalized Ostrovsky Equations: II: Dynamics of Solitary-Wave Solutions

    Understanding Complex Systems (Springer Verlag), pp. 369-403