94 citations as recorded by crossref.

1. Exact boundary controllability of the Korteweg–de Vries equation with a piecewise constant main coefficient E. Crépeau https://doi.org/10.1016/j.sysconle.2016.09.012
2. On chaotic wave patterns in periodically forced steady-state KdVB and extended KdVB equations E. Cox et al. https://doi.org/10.1098/rspa.2005.1481
3. Modulated periodic wavetrains in the spherical Gardner equation G. Aslanova et al. https://doi.org/10.1016/j.wavemoti.2021.102844
4. Turbulence Observations in the Northern Bight of Monterey Bay from a Small AUV L. Goodman & Z. Wang https://doi.org/10.1016/j.jmarsys.2008.11.004
5. Generation of solitons and breathers in the extended Korteweg–de Vries equation with positive cubic nonlinearity R. Grimshaw et al. https://doi.org/10.1063/1.3279480
6. Generalized solitary waves and fronts in coupled Korteweg–de Vries systems C. Fochesato et al. https://doi.org/10.1016/j.physd.2005.07.010
7. Dynamics of strongly nonlinear internal long waves in a three-layer fluid system T. Jo & Y. Choi https://doi.org/10.1007/s12601-014-0033-6
8. Dynamics of the semi-discrete Gardner equation under two types of non-vanishing boundary conditions: heteropolar solitons and kinks J. Niu et al. https://doi.org/10.1007/s11071-026-12412-z
9. Near-critical hydraulic flows in two-layer fluids A. KLUWICK et al. https://doi.org/10.1017/S0022112006004071
10. Two-dimensional fractional algebraic internal solitary waves model and its solution Y. Li et al. https://doi.org/10.1177/1687814019838357
11. The role of nonlinear source terms in geophysics V. Kardashov et al. https://doi.org/10.1029/1999GL011192
12. A comparative study between two different methods for solving the general Korteweg–de Vries equation (GKdV) M. Helal & M. Mehanna https://doi.org/10.1016/j.chaos.2006.11.011
13. Higher-order (2 + 4) Korteweg-de Vries-like equation for interfacial waves in a symmetric three-layer fluid O. Kurkina et al. https://doi.org/10.1063/1.3657816
14. On the localization of 2D nonlinear internal waves in a two-layer fluid A. Porubov https://doi.org/10.1134/1.1994965
15. CLASSIFICATION OF BREATHER BREAKING OVER A UNIFORM SLOPE K. TASHITA et al. https://doi.org/10.2208/kaigan.77.2_I_343
16. Perturbation theory for kinks and its application for multisoliton interactions in hydrodynamics K. Gorshkov et al. https://doi.org/10.1103/PhysRevE.69.016614
17. Generation of short-lived large-amplitude magnetohydrodynamic pulses by dispersive focusing V. Fedun et al. https://doi.org/10.1016/j.physleta.2008.08.025
18. On the generation of solitons and breathers in the modified Korteweg–de Vries equation S. Clarke et al. https://doi.org/10.1063/1.166505
19. Dynamics of localized waves with large amplitude in a weakly dispersive medium with a quadratic and positive cubic nonlinearity A. Slyunyaev https://doi.org/10.1134/1.1364750
20. Shoaling of nonlinear internal waves in Massachusetts Bay A. Scotti et al. https://doi.org/10.1029/2008JC004726
21. Modelling of water exchange through the Strait of the Dardanelles N. Stashchuk & K. Hutter https://doi.org/10.1016/S0278-4343(01)00017-6
22. An interesting oddity in the theory of large amplitude internal solitary waves M. Stastna & K. Lamb https://doi.org/10.2205/2020ES000731
23. Long‐time asymptotic behavior of the fifth‐order modified KdV equation in low regularity spaces N. Liu et al. https://doi.org/10.1111/sapm.12379
24. Vanishing characteristic speeds and critical dispersive points in nonlinear interfacial wave problems D. Ratliff https://doi.org/10.1063/1.4998803
25. Transformation of a fully nonlinear breather-like package of internal waves over a bottom step in a layered fluid N. Sannikov et al. https://doi.org/10.59887/2073-6673.2023.16(3)-10
26. Dynamical and statistical features of soliton interactions in the focusing Gardner equation X. Zhang et al. https://doi.org/10.1063/5.0200335
27. Unifying the steady state resonant solutions of the periodically forced KdVB, mKdVB, and eKdVB equations P. Trinh & D. Amundsen https://doi.org/10.1016/j.cam.2009.08.029
28. The effect of strong shear on internal solitary-like waves M. Stastna et al. https://doi.org/10.5194/npg-28-585-2021
29. Undular bore theory for the modified Korteweg–de Vries–Burgers equation L. de Brito & A. Kamchatnov https://doi.org/10.1103/PhysRevE.109.015102
30. Mixed turbulence of breathers and narrowband irregular waves: mKdV framework E. Didenkulova https://doi.org/10.1016/j.physd.2021.133130
31. Interaction Features of Internal Wave Breathers in a Stratified Ocean E. Didenkulova & E. Pelinovsky https://doi.org/10.3390/fluids5040205
32. Transcritical flow of a stratified fluid: The forced extended Korteweg–de Vries model R. Grimshaw et al. https://doi.org/10.1063/1.1429962
33. LONG NONLINEAR INTERNAL WAVES K. Helfrich & W. Melville https://doi.org/10.1146/annurev.fluid.38.050304.092129
34. Korteweg–de Vries surface solitons at plasma interfaces L. Nocera https://doi.org/10.1016/j.physleta.2006.07.016
35. Bright and dark rogue internal waves: The Gardner equation approach M. Bokaeeyan et al. https://doi.org/10.1103/PhysRevE.99.062224
36. The modulation of multiple phases leading to the modified Korteweg–de Vries equation D. Ratliff https://doi.org/10.1063/1.5037280
37. Nonlinear travelling periodic waves for the Euler equations in three-layer flows X. Guan et al. https://doi.org/10.1017/jfm.2024.73
38. Internal solitons in laboratory experiments: Comparison with theoretical models L. Ostrovsky & Y. Stepanyants https://doi.org/10.1063/1.2107087
39. A Model for Strongly Nonlinear Long Interfacial Waves with Background Shear A. Boonkasame & P. Milewski https://doi.org/10.1111/sapm.12036
40. Propagation speeds of strongly nonlinear near-surface internal waves in the Strait of Georgia C. Wang & R. Pawlowicz https://doi.org/10.1029/2010JC006776
41. Dynamics of solitons in a nonintegrable version of the modified Korteweg-de Vries equation O. Kurkina et al. https://doi.org/10.1134/S0021364012020051
42. Internal breather-like wave generation by the second mode solitary wave interaction with a step K. Terletska et al. https://doi.org/10.1063/1.4967203
43. Breathers in a three-layer fluid K. Nakayama & K. Lamb https://doi.org/10.1017/jfm.2020.653
44. Darboux Transformation and Explicit Solutions for Discretized Modified Korteweg-de Vries Lattice Equation W. Xiao-Yong & G. Yi-Tian https://doi.org/10.1088/0253-6102/53/5/07
45. Breather interactions in a three-layer fluid K. Nakayama & K. Lamb https://doi.org/10.1017/jfm.2023.1
46. Conjugate flows for a three-layer fluid K. Lamb https://doi.org/10.1063/1.1287652
47. Interaction of mode-one internal solitary waves of opposite polarity in double-pycnocline stratifications K. Lamb https://doi.org/10.1017/jfm.2023.284
48. Reduction to modified KdV and its KP-like generalization via phase modulation D. Ratliff & T. Bridges https://doi.org/10.1088/1361-6544/aabfab
49. Kinematic parameters of internal waves of the second mode in the South China Sea O. Kurkina et al. https://doi.org/10.5194/npg-24-645-2017
50. Stochastic solutions of the geophysical KdV equation: Numerical simulations and white noise impact A. Almoneef et al. https://doi.org/10.3934/math.2025269
51. Internal Wave Breathers in the Slightly Stratified Fluid T. Talipova et al. https://doi.org/10.1007/s12217-019-09738-2
52. The Propagation of Internal Solitary Waves over Variable Topography in a Horizontally Two-Dimensional Framework C. Yuan et al. https://doi.org/10.1175/JPO-D-17-0154.1
53. Numerical Simulations of Cross-boundary Layer Transport by Head-on Internal Solitary Wave Collisions M. Stastna et al. https://doi.org/10.1007/s42286-022-00064-6
54. Long ring waves in a stratified fluid over a shear flow K. Khusnutdinova & X. Zhang https://doi.org/10.1017/jfm.2016.147
55. Internal tides near the Celtic Sea shelf break: A new look at a well known problem V. Vlasenko & N. Stashchuk https://doi.org/10.1016/j.dsr.2015.05.003
56. Short‐Lived Large‐Amplitude Pulses in the Nonlinear Long‐Wave Model Described by the Modified Korteweg–De Vries Equation R. Grimshaw et al. https://doi.org/10.1111/j.0022-2526.2005.01544.x
57. Interacting Solitons, Periodic Waves and Breather for Modified Korteweg–de Vries Equation V. Kruglov & H. Triki https://doi.org/10.1088/0256-307X/40/9/090503
58. Three‐dimensional shoaling of large‐amplitude internal waves V. Vlasenko & N. Stashchuk https://doi.org/10.1029/2007JC004107
59. Boussinesq/Boussinesq systems for internal waves with a free surface, and the KdV approximation V. Duchêne https://doi.org/10.1051/m2an/2011037
60. INTERACTION OF A SOLITARY WAVE WITH AN EXTERNAL FORCE IN THE EXTENDED KORTEWEG–DE VRIES EQUATION R. GRIMSHAW & E. PELINOVSKY https://doi.org/10.1142/S0218127402005947
61. Three‐layer flows in the shallow water limit F. de Melo Viríssimo & P. Milewski https://doi.org/10.1111/sapm.12266
62. Solitons Northeast of Tung-Sha Island During the ASIAEX Pilot Studies Y. Yang et al. https://doi.org/10.1109/JOE.2004.841424
63. Statistical Characteristics of the Ensemble of Internal Wave Solitons E. Didenkulova et al. https://doi.org/10.1134/S0001433820060031
64. INVESTIGATION OF OBLIQUE BREATHER INTERACTIONS K. NAKAYAMA https://doi.org/10.2208/jscejhe.78.2_I_643
65. Observations of Shoaling Nonlinear Internal Bores across the Central California Inner Shelf J. McSweeney et al. https://doi.org/10.1175/JPO-D-19-0125.1
66. Modulational Instability of Nonlinear Wave Packets within (2+4) Korteweg–de Vries Equation O. Kurkina et al. https://doi.org/10.3390/w16060884
67. Dynamics of nonlinear three-dimensionalwaves on the interface between two fluids in a channel with low-sloping bottom and top D. Arkhipov et al. https://doi.org/10.1134/S0015462814040097
68. Nonlinear dynamics of a soliton gas: Modified Korteweg–de Vries equation framework E. Shurgalina & E. Pelinovsky https://doi.org/10.1016/j.physleta.2016.04.023
69. Nonlinear stability of two-layer shallow water flows with a free surface F. de Melo Viríssimo & P. Milewski https://doi.org/10.1098/rspa.2019.0594
70. Emergence of champion solitons from two-solitary-wave interactions in the fourth-order generalized Korteweg–de Vries equation M. Flamarion & E. Pelinovsky https://doi.org/10.1016/j.chaos.2026.118271
71. A classification of mode-1 internal solitary waves in a three-layer fluid R. Barros et al. https://doi.org/10.1017/jfm.2026.11281
72. Flat Solitary Waves due to a Submerged Body Moving in a Stratified Fluid W. Gang et al. https://doi.org/10.1088/0256-307X/25/6/056
73. Solitary wave transformation in a medium with sign-variable quadratic nonlinearity and cubic nonlinearity R. Grimshaw et al. https://doi.org/10.1016/S0167-2789(99)00045-7
74. TRANSFORMATION OF BREATHER OVER A SLOPING BOTTOM K. TASHITA et al. https://doi.org/10.2208/kaigan.78.2_I_367
75. A generalized Korteweg‐de Vries model of internal tide transformation in the coastal zone P. Holloway et al. https://doi.org/10.1029/1999JC900144
76. Transformation of internal breathers in the idealised shelf sea conditions E. Rouvinskaya et al. https://doi.org/10.1016/j.csr.2015.09.017
77. The Solitary Waves Solutions of the Internal Wave Benjamin-Ono Equation X. Meng https://doi.org/10.4236/jamp.2014.28089
78. Transient modes for the coupled modified Korteweg–de Vries equations with negative cubic nonlinearity: Stability and applications of breathers C. Wong et al. https://doi.org/10.1063/5.0223458
79. Two-Soliton Interaction Within the Framework of the Modified Korteweg–de Vries Equation E. Pelinovsky & E. Shurgalina https://doi.org/10.1007/s11141-015-9560-y
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81. Wave group dynamics in weakly nonlinear long-wave models R. Grimshaw et al. https://doi.org/10.1016/S0167-2789(01)00333-5
82. Dynamics of large-amplitude solitons A. Slyunyaev & E. Pelinovski https://doi.org/10.1134/1.558966
83. Derivation and simulation of the multiple lump solutions to an integrable generalized fifth-order Korteweg–de Vries equation H. Lu & W. Peng https://doi.org/10.1098/rspa.2025.0724
84. Alongshore Variability of Shoaling Internal Bores on the Inner Shelf J. McSweeney et al. https://doi.org/10.1175/JPO-D-20-0090.1
85. Solitons, Bäcklund transformations, Lax pair and conservation laws for the nonautonomous mKdV–sinh-Gordon equation with time-dependent coefficients L. Liu et al. https://doi.org/10.1142/S0217984916500081
86. On the Cauchy Problem for Mildly Nonlinear and Non-Boussinesq Case-(ABC) System L. Zhou https://doi.org/10.4236/jamp.2024.124079
87. A Directional Decomposition Method to Estimate the Reflection and Transmission of Nonlinear Internal Waves Over a Slope Y. Gong et al. https://doi.org/10.1029/2022JC018598
88. An Open-Source Pseudo-Spectral Solver for Idealized Korteweg–de Vries Soliton Simulations D. Irawan et al. https://doi.org/10.3390/w18070779
89. On the dynamics of internal waves in a nonlinear, weakly nonhydrostatic three‐layer ocean A. Rubino et al. https://doi.org/10.1029/2001JC000958
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