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Mathematics

D-Index
35
Citations
5979
World Ranking
2748
National Ranking
1123

Overview

Willy Hereman is affiliated with the Colorado School of Mines in the United States. Their research predominantly spans the fields of Physics and Astronomy, with additional contributions in Engineering.

Their subfields of study focus on Statistical and Nonlinear Physics, Mechanics of Materials, Biomedical Engineering, Oceanography, and Mathematical Physics.

The central topics in Hereman's work include Nonlinear Waves and Solitons, Nonlinear Photonic Systems, Elasticity and Wave Propagation, Elasticity and Material Modeling, Ocean Waves and Remote Sensing, Advanced Mathematical Physics Problems, and Advanced Mathematical Modeling in Engineering.

Hereman has published multiple papers in various venues. Notable recent papers include:

  • Using Symmetries to Investigate the Complete Integrability, Solitary Wave Solutions and Solitons of the Gardner Equation, 2024, Mathematical and Computational Applications
  • Lie symmetries, closed-form solutions, and conservation laws of a constitutive equation modeling stress in elastic materials, 2025, Partial Differential Equations in Applied Mathematics
  • Symbolic computation of solitary wave solutions and solitons through homogenization of degree, 2023, arXiv (Cornell University)
  • Using Symmetries to Investigate the Complete Integrability, Solitary Wave Solutions and Solitons of the Gardner Equation, 2024, Preprints.org

Frequent co-authors collaborating with Hereman include:

  • Ünal Göktaş
  • Rehana Naz
  • Frank Verheest

Hereman's work appears in several publication venues such as:

  • arXiv (Cornell University)
  • Mathematical and Computational Applications
  • Partial Differential Equations in Applied Mathematics
  • Preprints.org
  • Journal of Plasma Physics

Best Publications

  • The tanh method: I. Exact solutions of nonlinear evolution and wave equations

    Willy Malfliet;Willy Hereman

  • Symbolic methods to construct exact solutions of nonlinear partial differential equations

    Willy Hereman;Ameina Nuseir

  • The tanh method: II. Perturbation technique for conservative systems

    Willy Malfliet;Willy Hereman

  • Exact solitary wave solutions of nonlinear evolution and wave equations using a direct algebraic method

    Willy Hereman;Partha P. Banerjee;Adrianus Korpel;Gaetano Assanto

  • The computer calculation of Lie point symmetries of large systems of differential equations

    B. Champagne;W. Hereman;P. Winternitz

  • Solitary wave solutions of nonlinear evolution and wave equations using a direct method and MACSYMA

    W Hereman;M Takaoka

  • Symbolic Computation of Conserved Densities for Systems of Nonlinear Evolution Equations

    Ünal Göktaş;Willy Hereman

  • Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs

    Douglas Baldwin;Ünal Göktas;Willy Hereman;Willy Hereman;Linda Hong

  • Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations

    Douglas Baldwin;Unal Goktas;Willy Hereman;Willy Hereman

  • Statistical methods in surveying by trilateration

    William Navidi;William S. Murphy;Willy Hereman

  • Review of symbolic software for lie symmetry analysis

    W. Hereman

  • Symbolic computation of conservation laws of nonlinear partial differential equations in multi-dimensions

    Willy Hereman

  • Exact solitary wave solutions of coupled nonlinear evolution equations using MACSYMA

    Willy Hereman

  • Symbolic Software for Soliton Theory

    W. Hereman;W. Zhuang

  • Computation of conservation laws for nonlinear lattices

    Ünal Göktaş;Willy Hereman

  • Symbolic computation of conservation laws for nonlinear partial differential equations in multiple space dimensions

    Douglas Poole;Willy Hereman

  • Derivation and implicit solution of the Harry Dym equation and its connections with the Korteweg-de Vries equation

    Willy Hereman;Partha P. Banerjee;Monish Ranjan Chatterjee

  • A symbolic algorithm for computing recursion operators of nonlinear partial differential equations

    D. E. Baldwin;W. Hereman

  • Head-on collisions of electrostatic solitons in nonthermal plasmas.

    Frank Verheest;Manfred A. Hellberg;Willy A. Hereman

  • Symbolic Software for the Painleve Test of Nonlinear Ordinary and Partial Differential Equations

    Douglas Baldwin;Willy Hereman

  • Nonlinear Wave Equations

    Christopher Curtis;Anton Dzhamay;Willy Hereman;Barbara Prinari

Frequent Co-Authors

Gaetano Assanto
Gaetano Assanto Roma Tre University
Benoit Champagne
Benoit Champagne McGill University
G. R. W. Quispel
G. R. W. Quispel La Trobe University
Gregory Beylkin
Gregory Beylkin University of Colorado Boulder
Pavel Winternitz
Pavel Winternitz University of Montreal

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