Partial Differential Equations in Applied Mathematics

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Top Publications

• Nonlocal PT-symmetric integrable equations and related Riemann-Hilbert problems

  (2021)
  176 Citations

• Soliton solutions by means of Hirota bilinear forms

  (2021)
  101 Citations

• Analysis and modeling with fractal-fractional operator for an epidemic model with reference to COVID-19 modeling

  Unknown

  (2024)
  57 Citations

• A novel and efficient method for obtaining Hirota’s bilinear form for the nonlinear evolution equation in (n+1) dimensions

  (2022)
  46 Citations

• The amazing fractional Maclaurin series for solving different types of fractional mathematical problems that arise in physics and engineering

  (2023)
  39 Citations

• A polynomial conjecture connected with rogue waves in the KdV equation

  Wen-Xiu Ma

  (2021)
  37 Citations

• New approximate-analytical solutions to partial differential equations via auxiliary function method

  Laiq Zada;Rashid Nawaz;Kottakkaran Sooppy Nisar;Muhammad Tahir

  (2021)
  34 Citations

• Analytical study of soliton solutions for an improved perturbed Schrödinger equation with Kerr law non-linearity in non-linear optics by an expansion algorithm

  Adil Jhangeer;Waqas Ali Faridi;Muhammad Imran Asjad;Ali Akgül

  (2021)
  33 Citations

• The mathematical study of climate change model under nonlocal fractional derivative

  Anwarud Din;Faiz Muhammad Khan;Zia Ullah Khan;Abdullahi Yusuf

  (2021)
  32 Citations

• Soliton hierarchies and soliton solutions of type (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e22" altimg="si1.svg"><mml:mrow><mml:mo>−</mml:mo><mml:msup><mml:mrow><mml:mi>λ</mml:mi></mml:mrow><mml:mrow><mml:mo>∗</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:mat

  (2023)
  31 Citations