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  1. 781

    On some solitary wave solutions of the Estevez--Mansfield--Clarkson equation with conformable fractional derivatives in time by Ahmed Nauman, Macías-Díaz Jorge E., Umer Shazia, Baber Muhammad Z., Jawaz Muhammad, Vargas-Rodríguez Héctor

    Published 2024-12-01
    “…The integer-order model finds applications in mathematical physics, optics, and the investigation of shape developing in liquid drops. …”
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    Article
  2. 782

    Optical Solutions of the Date–Jimbo–Kashiwara–Miwa Equation via the Extended Direct Algebraic Method by Ghazala Akram, Naila Sajid, Muhammad Abbas, Y. S. Hamed, Khadijah M. Abualnaja

    Published 2021-01-01
    “…In this study, the solutions of 2+1-dimensional nonlinear Date–Jimbo–Kashiwara–Miwa (DJKM) equation are characterized, which can be used in mathematical physics to model water waves with low surface tension and long wavelengths. …”
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    Article
  3. 783

    Some New Traveling Wave Exact Solutions of the (2+1)-Dimensional Boiti-Leon-Pempinelli Equations by Jian-ming Qi, Fu Zhang, Wen-jun Yuan, Zi-feng Huang

    Published 2014-01-01
    “…We believe that this method should play an important role for finding exact solutions in the mathematical physics. For these new traveling wave solutions, we give some computer simulations to illustrate our main results.…”
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    Article
  4. 784

    Some fractional integral inequalities involving extended Mittag-Leffler function with applications by Sabir Hussain, Rida Khaliq, Sobia Rafeeq, Azhar Ali, Jongsuk Ro

    Published 2024-12-01
    “…Integral inequalities and the Mittag-Leffler function play a crucial role in many branches of mathematics and applications, including fractional calculus, mathematical physics, and engineering. In this paper, we introduced an extended generalized Mittag-Leffler function that involved several well-known Mittag-Leffler functions as a special case. …”
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    Article
  5. 785

    Paley and Hardy's inequalities for the Fourier-Dunkl expansions by Anis Elgarna

    Published 2025-01-01
    “…Establishing Paley and Hardy's inequalities in these settings is a participation in extending the Dunkl harmonic analysis as it has many applications in mathematical physics and in the framework of vector valued extensions of multipliers.…”
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    Article
  6. 786

    On the approximate solution of the Cauchy problem for the Helmholtz equation on the plane by Davron Juraev, Nazira Mammadzada, Praveen Agarwal, Shilpi Jain

    Published 2024-09-01
    “…The problem under consideration belongs to the problems of mathematical physics, in which there is no continuous dependence of solutions on the initial data. …”
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    Article
  7. 787

    Exact analytical soliton solutions of the M-fractional Akbota equation by Muath Awadalla, Aigul Taishiyeva, Ratbay Myrzakulov, Jihan Alahmadi, Abdullah A. Zaagan, Ahmet Bekir

    Published 2024-06-01
    “…At the end, the applied techniques are simple, fruitful and reliable to solve the other models in mathematical physics.…”
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    Article
  8. 788

    High-Precision computational solutions for nonlinear evolution models in graphene sheets by Mostafa M. A. Khater, Suleman H. Alfalqi, Aleksander Vokhmintsev

    Published 2025-02-01
    “…The innovative use of these analytical techniques offers practical frameworks for addressing complex nonlinear models in mathematical physics, thus advancing solution methodologies for such equations. …”
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    Article
  9. 789

    Extensions of Riordan Arrays and Their Applications by Paul Barry

    Published 2025-01-01
    “…The first application of this symmetrization is to the study of a family of Riordan arrays whose symmetrizations lead to the famous Robbins numbers as well as to numbers associated with the 20 vertex model of mathematical physics. We provide closed-form expressions for the elements of these arrays, and we also give a canonical Catalan factorization for them. …”
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    Article
  10. 790

    Study of nonlinear wave equation of optical field for solotonic type results by Ikram Ullah, Muhammad Bilal, Dawood Shah, Hasib Khan, Jehad Alzabut, Hisham Mohammad Alkhawar

    Published 2025-03-01
    “…This paper uses the fractional perturbed Gerdjikov–Ivanov (PGI) model, a basic mathematical framework in mathematical physics and nonlinear dynamics, to examine complex wave structures using the M-fractional operator and modified Extended Direct Algebraic Method (mEDAM). …”
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    Article
  11. 791

    Solving geocryology problems based on generalized Fourier theory for temperature waves in half-space by Anatoliy M. Afanasyev, Yulia S. Bakhracheva

    Published 2024-12-01
    “…It is required to generalize the Fourier problem known in mathematical physics on fluctuations of the temperature field in half-space by introducing into consideration, along with the temperature field, the moisture content field and taking into account the phenomena of evaporation and condensation associated with this field. …”
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    Article
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