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Cited article:

Modeling Synchronized Propagation of Two Symmetric Waves in a New Two-Mode Extension of the $$(1+1)$$-Dimensional Chaffee-Infante Model

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International Journal of Theoretical Physics 64 (2) (2025)
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Derivation of some bi-wave solutions for a new two-mode version of the combined Schamel and KdV equations

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Partial Differential Equations in Applied Mathematics 9 100641 (2024)
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Analysis of Optical Bi-wave Solutions in a Two-mode Model Arising from the Unstable Schrödinger Equation

Safwan Al-Shara, Marwan Alquran, HM Jaradat and Imad Jaradat
International Journal of Theoretical Physics 63 (4) (2024)
https://doi.org/10.1007/s10773-024-05628-5

Novel Optical bi-directional solutions to the new dual-mode derivative nonlinear Schrödinger equation

Badar E Alam and Ahmad Javid
Physica Scripta 98 (10) 105247 (2023)
https://doi.org/10.1088/1402-4896/acfa3b

Dynamical analysis and phase portraits of two-mode waves in different media

Nauman Raza, Adil Jhangeer, Saima Arshed, Asma Rashid Butt and Yu-Ming Chu
Results in Physics 19 103650 (2020)
https://doi.org/10.1016/j.rinp.2020.103650

Shapes and dynamics of dual-mode Hirota–Satsuma coupled KdV equations: Exact traveling wave solutions and analysis

Marwan Alquran, Imad Jaradat and Dumitru Baleanu
Chinese Journal of Physics 58 49 (2019)
https://doi.org/10.1016/j.cjph.2019.01.005

Multiplicative of dual-waves generated upon increasing the phase velocity parameter embedded in dual-mode Schrödinger with nonlinearity Kerr laws

Marwan Alquran and Imad Jaradat
Nonlinear Dynamics 96 (1) 115 (2019)
https://doi.org/10.1007/s11071-019-04778-0

Dynamism of two-mode’s parameters on the field function for third-order dispersive Fisher: application for fibre optics

Marwan Alquran and Ola Yassin
Optical and Quantum Electronics 50 (9) (2018)
https://doi.org/10.1007/s11082-018-1621-y

A numerical study on weak-dissipative two-mode perturbed Burgers’ and Ostrovsky models: right-left moving waves

Imad Jaradat, Marwan Alquran and Mohammed Ali
The European Physical Journal Plus 133 (4) (2018)
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Two-mode Sharma-Tasso-Olver equation and two-mode fourth-order Burgers equation: Multiple kink solutions

Abdul-Majid Wazwaz
Alexandria Engineering Journal 57 (3) 1971 (2018)
https://doi.org/10.1016/j.aej.2017.04.003

A Reliable Study of New Nonlinear Equation: Two-Mode Kuramoto–Sivashinsky

H. M. Jaradat, Marwan Alquran and Muhammed I. Syam
International Journal of Applied and Computational Mathematics 4 (2) (2018)
https://doi.org/10.1007/s40819-018-0497-7

New dual-mode Kadomtsev–Petviashvili model with strong–weak surface tension: analysis and application

Issam Abu Irwaq, Marwan Alquran, Imad Jaradat and Dumitru Baleanu
Advances in Difference Equations 2018 (1) (2018)
https://doi.org/10.1186/s13662-018-1893-3

Multiple soliton solutions and other exact solutions for a two‐mode KdV equation

Abdul‐Majid Wazwaz
Mathematical Methods in the Applied Sciences 40 (6) 2277 (2017)
https://doi.org/10.1002/mma.4138

A Two-Mode Burgers Equation of Weak Shock Waves in a Fluid: Multiple Kink Solutions and Other Exact Solutions

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International Journal of Applied and Computational Mathematics 3 (4) 3977 (2017)
https://doi.org/10.1007/s40819-016-0302-4

A study on a two‐wave mode Kadomtsev–Petviashvili equation: conditions for multiple soliton solutions to exist

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Mathematical Methods in the Applied Sciences 40 (11) 4128 (2017)
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A two-mode coupled Korteweg–de Vries: multiple-soliton solutions and other exact solutions

H. M. Jaradat, Muhammed Syam and Marwan Alquran
Nonlinear Dynamics 90 (1) 371 (2017)
https://doi.org/10.1007/s11071-017-3668-x