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  1. Multiple Lump and Rogue Wave Solutions of a Modified Benjamin-Ono Equation

    In this chapter, a (2+1)-dimensional modified Benjamin-Ono (MBO) equation is introduced. Multiple lump (M-lump) and rogue wave solutions are obtained...
    Solomon Manukure, Yuan Zhou in Nonlinear and Modern Mathematical Physics
    Conference paper 2024

  2. Fredholm Integral Equation of the Second Kind with Degenerate Kernel

    In this section, we will describe the method of solution of the integral equation (2.1) with degenerate kernel k(x, t) given by equation (2.4) by...
    Sudeshna Banerjea, Birendra Nath Mandal in Integral Equations and Integral Transforms
    Chapter 2023

  3. Boundary Value Problems for a Parabolic-Hyperbolic Equation with Nonlinear Loaded Terms

    Abstract

    In the present work local and nonlocal boundary value problem involves nonlinear gluing condition for a loaded parabolic-hyperbolic type...

    O. Kh. Abdullaev in Lobachevskii Journal of Mathematics
    Article 01 October 2023

  4. Dynamic Programming of the Stochastic Burgers Equation Driven by Lévy Noise

    In this work, we study the optimal control of stochastic Burgers equation perturbed by Gaussian and Lévy-type noises with distributed control process...

    Manil T. Mohan, Kumarasamy Sakthivel, Sivaguru S. Sritharan in Journal of Optimization Theory and Applications
    Article 20 February 2024

  5. Transformation Operator for the Schrödinger Equation with Additional Exponential Potential

    Abstract

    In this paper, we consider the one-dimensional Schrödinger equation on the semiaxis with an additional exponential potential. Using...

    A. Kh. Khanmamedov, M. F. Muradov in Russian Mathematics
    Article 01 September 2023

  6. A Solution of the Diffusion Equation

    This chapter is dedicated to the solution of the diffusion equation. It gives the probability density to observe a particle with a given action at a...
    Edson Denis Leonel in Dynamical Phase Transitions in Chaotic Systems
    Chapter 2023

  8. Dynamical behavior of perturbed Gerdjikov–Ivanov equation through different techniques

    The objective of this work is to investigate the perturbed Gerdjikov–Ivanov (GI) equation along spatio-temporal dispersion which explains the...

    Hamood Ur Rehman, Ifrah Iqbal, ... Wasfi Shatanawi in Boundary Value Problems
    Article Open access 09 November 2023

  9. Construction of Fundamental Solution for an Odd-Order Equation

    Abstract

    In previous papers, we obtained some delta-shaped partial solutions of odd-order equations with multiple characteristics and studied some of...

    B. Yu. Irgashev in Vestnik St. Petersburg University, Mathematics
    Article 01 December 2023

  10. Spectrum of an Integro-Differential Equation of Fractional Order

    We consider an integro-differential fractional order equation describing one-dimensional eigenoscillations of a homogeneous viscoelastic medium. We...

    A. S. Shamaev, V. V. Shumilova in Journal of Mathematical Sciences
    Article 23 October 2023

  11. On the Homogenization of the Renewal Equation with Heterogeneous External Constraints

    We study the homogenization limit of the renewal equation with heterogeneous external constraints by means of the two-scale convergence theory. We...

    Étienne Bernard, Francesco Salvarani in Acta Applicandae Mathematicae
    Article 30 August 2023

  12. The monomial functional equation for connected Lie groups

    In this work, we present the Cauchy functional equation in the context of connected Lie groups. We consider two generalizations of this equation with...

    A. Molla, S. Nicolay in Aequationes mathematicae
    Article 15 June 2023

  13. Dynamic of the nonclassical diffusion equation with memory

    In this paper, we consider the nonclassical diffusion equation with memory and the nonlinearity of the polynomial growth condition of arbitrary order...

    **g Wang, Qiaozhen Ma, ... **aobin Yao in Boundary Value Problems
    Article Open access 11 August 2023

  14. Solving Lane-Emden Equation by Using Differential Transformation Method

    In this research, a semi-analytical solution called differential transformation method (DTM) was used to solve the Lane-Emden equation. With the help...
    Muhammad Aris Izzuddin Razali, Noor Azliza Abd Latif in Proceedings of the 8th International Conference on the Applications of Science and Mathematics
    Conference paper 2023

  15. New Exact Solutions of the Thomas Equation Using Symmetry Transformations

    Lie symmetry analysis of differential equations is one of the most effective techniques to find exact solutions to a differential equation or to...

    Akhtar Hussain, A. H. Kara, F. D. Zaman in International Journal of Applied and Computational Mathematics
    Article 19 September 2023

  16. An Inverse Problem for a Hyperbolic Integro-Differential Equation in a Bounded Domain

    Abstract

    We consider the inverse problem of finding the kernel of the integral term in an integro-differential equation. The problem of finding the...

    J. Sh. Safarov, D. K. Durdiev, A. A. Rakhmonov in Siberian Advances in Mathematics
    Article 31 May 2024

  17. Asymptotic Behavior of Solutions of the Inhomogeneous Schrödinger Equation on Noncompact Riemannian Manifolds

    Abstract

    The paper studies the behavior of bounded solutions of the inhomogeneous Schrödinger equation on noncompact Riemannian manifolds under a...

    E. A. Mazepa, D. K. Ryaboshlykova in Russian Mathematics
    Article 01 January 2024

  18. Complete Description of Local Conservation Laws for Generalized Dissipative Westervelt Equation

    We give a complete description of inequivalent nontrivial local conservation laws of all orders for a natural generalization of the dissipative...

    Artur Sergyeyev in Qualitative Theory of Dynamical Systems
    Article Open access 04 June 2024

  19. Group classification for one type of space-time fractional quasilinear parabolic equation

    In this paper, we present the Lie symmetry analysis for the space-time fractional quasilinear parabolic equation. A group classification is then...

    Jicheng Yu, Yuqiang Feng in Quantum Studies: Mathematics and Foundations
    Article 23 June 2024

  20. Reflected Stochastic Burgers Equation with Jumps

    This paper is concerned with the reflected stochastic Burgers equation driven both by the Brownian motion and by the Poisson random measure. The...

    Hongchao Qian, Jun Peng, ... Yewei Gui in Communications on Applied Mathematics and Computation
    Article 18 October 2023
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