A method for constructing a complete bifurcation picture of a boundary value problem for nonlinear partial differential equations: application of the Kolmogorov-Arnold theorem by Gromov, Vasily Alexandrovich, Tomashchuk, Korney Kirillovich, Beschastnov, Yury Nikolaevich, Sidorenko, Artem Aleksandrovich, Kakurin, Vasily Vladimirovich

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Estimation of Individual Wave Solutions for the Nonlinear Dynamic Model in A Heterogeneous Quantum Magnetoplasma by Zeynab Kiamehr, Zohreh Kiamehr

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Hybrid shifted polynomial scheme for the approximate solution of a class of nonlinear partial differential equations by Adewale E. Adenipekun, Adeniyi S. Onanaye, Olawale J. Adeleke, Muideen O. Ogunniran

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On the Extended Simple Equations Method (SEsM) and Its Application for Finding Exact Solutions of the Time-Fractional Diffusive Predator–Prey System Incorporating an Allee Effect by Elena V. Nikolova

Subjects: “…fractional nonlinear partial differential equations…”
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Solving Viscous Burgers’ Equation: Hybrid Approach Combining Boundary Layer Theory and Physics-Informed Neural Networks by Rubén Darío Ortiz Ortiz, Oscar Martínez Núñez, Ana Magnolia Marín Ramírez

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Delving into quasi-periodic type optical solitons in fully nonlinear complex structured perturbed Gerdjikov–Ivanov equation by Zhimin Yan, Jinbo Li, Shoaib Barak, Salma Haque, Nabil Mlaiki

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Implementation of numerical modeling algorithms to examine the filtration of multiphase flow through the gas hydrate stability zone in the Ross Sea by Natalia Alekseeva, Sergey Popov, Yury Poveshchenko, Viktoriia Podryga, Grigory Kazakevich, Evgeny Chuvilin, Richard Coffin

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Exact solutions to the fractional nonlinear phenomena in fluid dynamics via the Riccati-Bernoulli sub-ODE method by Waleed Hamali, Abdulah A. Alghamdi

Subjects: “…nonlinear partial differential equations…”
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Soliton dynamics in the $ (2+1) $-dimensional Nizhnik-Novikov-Veselov system via the Riccati modified extended simple equation method by Naveed Iqbal, Meshari Alesemi

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On the Extended Simple Equations Method (SEsM) for Obtaining Numerous Exact Solutions to Fractional Partial Differential Equations: A Generalized Algorithm and Several Applications by Elena V. Nikolova

Subjects: “…fractional nonlinear partial differential equations…”
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Nonlinear integral inequality in two independent variables by P. T. Vaz, S. G. Deo

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Baclone transformation for a system of partial differential equations of the third order by Tatyana Valentinovna Redkina

Subjects: “…exact solutions of nonlinear partial differential equations…”
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Chaotic dynamics and some solutions for the (n + 1)-dimensional modified Zakharov–Kuznetsov equation in plasma physics by Zhao Shan, Feng Jun

Subjects: “…nonlinear partial differential equation…”
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NONLINEAR EQUATION WITH THE THIRD ORDER SCATTERING OPERATOR by Olga Sergeevna Yanovskaya, Olesya Borisovna Surneva

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Solitone solutions complexifications of the Korteweg - de Vriz equation by Tatyana Valentinovna Redkina

Subjects: “…exact solutions of nonlinear partial differential equations…”
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A Lattice Boltzmann BGK Model with an Amending Function for Two-Dimensional Second-Order Nonlinear Partial Differential Equations by Xiaohua Bi, Junbo Lei, Demei Li, Lindong Lai, Huilin Lai, Zhipeng Liu

Subjects: “…second-order nonlinear partial differential equation…”
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Analytical Solutions for the Nonlinear Stochastic Fractional KdV Equation: An application of the Generalized Riccati Equation Mapping Method by Abaker A. Hassaballa, Ali Satty, Mohyaldein Salih, Ahmed M. A. Adam, Omer M. A. Hamed, Zakariya M. S. Mohammed, Ashraf F. A. Mahmoud, Elzain A. E. Gumma

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CONSTRUCTION OF CONSERVATION LAWS FOR NONLINEAR EQUATIONS CONNECTED WITH THE DIRAC SCATTERING OPERATOR by Tatyana Valentinovna Redkina

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Application of the Tanh–Coth and HSI methods in deriving exact analytical solutions for the STFKS equation by Abaker A. Hassaballa, Abaker A. Hassaballa, Elzain A. E. Gumma, Ahmed M. A. Adam, Omer M. A. Hamed, Ali Satty, Mohyaldein Salih, Faroug A. Abdalla, Zakariya M. S. Mohammed, Zakariya M. S. Mohammed

Subjects: “…nonlinear partial differential equation…”
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New analytical wave solutions of fractional order DMBBM and Bateman-Burgers equations by Nathanon Sribua-Iam, Settapat Chinviriyasit

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