A One-Step Block Hybrid Integrator for Solving Fifth Order Korteweg-de Vries Equations by Olumide O. Olaiya, Mark I. Modebei, Saheed A. Bello

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On a modified Korteweg–de Vries equation for electrostatic structures in relativistic degenerate electron–positron plasma by Alireza Abdikian, Behzad Ghanbari

“…Using the reductive perturbation method, we obtained a modified Korteweg–de Vries equation. By applying a Jacobi elliptic function expansion method, we have proposed the exact analytical solitary, kink, and periodic solutions for the nonlinear wave structures. …”
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Fuzzy solutions of some variants of the fractional order Korteweg-de-Vries equations via an analytical method by Muhammad Nadeem, Jamshad Ahmad, Fatima Nusrat, Loredana Florentina Iambor

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Some exact solutions to the generalized Korteweg–de Vries equation and the system of shallow water wave equations by Ihsan Timuçin Dolapci, Ahmet Yıldırım

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Line solitons, lumps, and lump chains in the (2+1)-dimensional generalization of the Korteweg–de Vries equation by Jian-Hong Zhuang, Xin Chen, Jingyi Chu, Yaqing Liu

“…This article focuses on the exploration of novel soliton molecules for the (2+1)-dimensional Korteweg–de Vries equation. Specifically, Hirota bilinear form is derived through Bell polynomial method, and the hybrid solution comprising one lump soliton and an arbitrary number of line solitons or/and lump chains is derived through the introduction of a long wave limit and new constraint conditions between the parameters of the N-soliton solutions and velocity resonance. …”
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A BOUNDARY-VALUE PROBLEM ASSOCIATED WITH THE 2ND PAINLEVE TRANSCENDENT AND THE KORTEWEG-DE VRIES EQUATION by Hastings, S, Mcleod, J

Solitary wave solutions for forced nonlinear korteweg-de vries equation by using approximate analytical method by Che Haziqah Che Hussin, Arif Mandangan, Amirah Azmi, Adem Kilicman

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Multi solitons solutions of Korteweg de Vries (KdV) equation : six solitons / by Siti Zarifah Sarif, 1989-, Ong, Chee Tiong, supervisor, Fakulti Sains

Subjects: “…Korteweg-de Vries equation…”

Multi solitons solutions of Korteweg de Vries (KdV) equation [electronic resource] : six solitons / by Siti Zarifah Sarif, 1989-

Subjects: “…Korteweg-de Vries equation…”

The Construction and Research of the Modified “Upwind Leapfrog” Difference Scheme with Improved Dispersion Properties for the Korteweg–de Vries Equation by Alexander Sukhinov, Alexander Chistyakov, Elena Timofeeva, Alla Nikitina, Yulia Belova

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New traveling wave solutions, phase portrait and chaotic pattern for the stochastic modified Korteweg–de Vries equation by Da Shi, Zhao Li, Tianyong Han

Subjects: “…Stochastic modified Korteweg–de Vries equation…”
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Modified homotopy perturbation method and its application to analytical solitons of fractional-order Korteweg–de Vries equation by Adedapo Ismaila Alaje, Morufu Oyedunsi Olayiwola, Kamilu Adewale Adedokun, Joseph Adeleke Adedeji, Asimiyu Olamilekan Oladapo

“…The methodology was demonstrated with a generalized KDV equation, and we applied it to solve linear and nonlinear fractional-order Korteweg–de Vries equations, which are in Caputo sense. The method’s applicability and effectiveness were established as a feasible series of arbitrary orders that accelerate quickly to the exact solution at an integer order and are obtained as solutions. …”
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Interaction Behaviours between Soliton and Cnoidal Periodic Waves for Nonlocal Complex Modified Korteweg–de Vries Equation by Junda Peng, Bo Ren, Shoufeng Shen, Guofang Wang

Subjects: “…nonlocal modified Korteweg–de Vries equation…”
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Integrable Nonlocal PT-Symmetric Modified Korteweg-de Vries Equations Associated with so(3, \({\mathbb{R}}\)) by Wen-Xiu Ma

“…The resulting typical nonlocal integrable equations are integrable PT-symmetric nonlocal complex reverse-spacetime and real reverse-spacetime modified Korteweg-de Vries equations associated with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>so</mi><mo>(</mo><mn>3</mn><mo>,</mo><mi mathvariant="double-struck">R</mi><mo>)</mo></mrow></semantics></math></inline-formula>.…”
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Localized modes in time-fractional modified coupled Korteweg-de Vries equation with singular and non-singular kernels by Khalid Khan, Amir Ali, Manuel De la Sen, Muhammad Irfan

“…In this article, the modified coupled Korteweg-de Vries equation with Caputo and Caputo-Fabrizio time-fractional derivatives are considered. …”
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Some more bounded and singular pulses of a generalized scale-invariant analogue of the Korteweg–de Vries equation by Sayed Saifullah, M.M. Alqarni, Shabir Ahmad, Dumitru Baleanu, Meraj Ali Khan, Emad E. Mahmoud

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New Results of the Time-Space Fractional Derivatives of Kortewege-De Vries Equations via Novel Analytic Method by Mariam Sultana, Uroosa Arshad, Md. Nur Alam, Omar Bazighifan, Sameh Askar, Jan Awrejcewicz

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Travelling waves and conservation laws of a (2+1)-dimensional coupling system with Korteweg-de Vries equation by Khalique Chaudry Masood, Mhlanga Isaiah Elvis

Subjects: “…(2+1)-dimensional coupling system with the korteweg-de vries equation…”
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Construction of New Infinite-Series Exact Solitary Wave Solutions and Its Application to the Korteweg–De Vries Equation by Guojiang Wu, Yong Guo

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Numerical Solutions of the Multi-Space Fractional-Order Coupled Korteweg–De Vries Equation with Several Different Kernels by Khaled Mohammed Saad, Hari Mohan Srivastava

Subjects: “…multi-space fractional-order coupled Korteweg–De Vries equation…”
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