CINXE.COM

<!DOCTYPE html><html lang="en-US"><head><title>Just a moment...</title><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta http-equiv="X-UA-Compatible" content="IE=Edge"><meta name="robots" content="noindex,nofollow"><meta name="viewport" content="width=device-width,initial-scale=1"><style>*{box-sizing:border-box;margin:0;padding:0}html{line-height:1.15;-webkit-text-size-adjust:100%;color:#313131;font-family:system-ui,-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Helvetica Neue,Arial,Noto Sans,sans-serif,Apple Color Emoji,Segoe UI Emoji,Segoe UI Symbol,Noto Color Emoji}body{display:flex;flex-direction:column;height:100vh;min-height:100vh}.main-content{margin:8rem auto;max-width:60rem;padding-left:1.5rem}@media (width <= 720px){.main-content{margin-top:4rem}}.h2{font-size:1.5rem;font-weight:500;line-height:2.25rem}@media (width <= 720px){.h2{font-size:1.25rem;line-height:1.5rem}}#challenge-error-text{background-image:url(data:image/svg+xml;base64,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);background-repeat:no-repeat;background-size:contain;padding-left:34px}@media (prefers-color-scheme:dark){body{background-color:#222;color:#d9d9d9}}</style><meta http-equiv="refresh" content="120"></head><body class="no-js"><div class="main-wrapper" role="main"><div class="main-content"><noscript><div class="h2"><span id="challenge-error-text">Enable JavaScript and cookies to continue</span></div></noscript></div></div><script>(function(){window._cf_chl_opt={cvId: '3',cZone: "publications.waset.org",cType: 'non-interactive',cRay: '91341017bba5f8d0',cH: 'S.YNjnJX8ZGZ6vSwrm_Vife7YRe0F1J61Xai9GrrAis-1739777329-1.2.1.1-sPxFR3f4ke73lGeyTW.nfE.E9A9hQ2FgU5Xp9lXwXiELpHsCnXmkRcrDEyecOQ8Y',cUPMDTk: "\/abstracts\/search?q=non-integrable%20PDEs&__cf_chl_tk=wxr4zRah0eQwliRpAKzp3SM53NHZVUzCPBdjkCZ7BDc-1739777329-1.0.1.1-L2oPZPNBRz_j7oFdZ5XPOtvobwmykqvg_OPhZJCwZB0",cFPWv: 'b',cITimeS: '1739777329',cTTimeMs: '1000',cMTimeMs: '120000',cTplC: 0,cTplV: 5,cTplB: 'cf',cK: "",fa: "\/abstracts\/search?q=non-integrable%20PDEs&__cf_chl_f_tk=wxr4zRah0eQwliRpAKzp3SM53NHZVUzCPBdjkCZ7BDc-1739777329-1.0.1.1-L2oPZPNBRz_j7oFdZ5XPOtvobwmykqvg_OPhZJCwZB0",md: "8bgh4BMrDkcMpJ2p5iY5KSDoPv38S_OojVCmnRc8XuA-1739777329-1.2.1.1-1HSonneX8BS1j7LqZNWmyzUZ7UUNyUorL1U6AkuA4.R.9DnUwFbrEKDYDf9BHniI3etPJfu5IactqxIFjP50Pn.OE0oG24bDSCxnoOGpmLX3hLQH.RCwa1txr4CipjMyN_wZNXRuS9hkHrFm7fnUBRhLOnXG6ZU6nXrWw87eOGdTNUHz4SYxx7zvZG8xwT8ACvFfiTKDLpUtDSSioqj1RY9_PG4jg1VgDpQHfoO5wU7C6fMHF_D4WHkmiZwv9q7TDnNfNge.VFSKWZlzM5.G.4rMj8GMLs3EkTNe3bL_b7a1KJySckHdFxoO6LHL5cX_GyHPsVmSOZoCHtoqeq7loWQzXMnEQTa4wp36X9flQzt4qtMr7FDxXqSny00qZ_83Dd2OP7Yuuk3PXqg63vmHxJsjS0qaYA.VRSycwpovbq6auS11SYjRPwZ9.9vFYT.YQKdAI81VtWDRK02EhCxb8B1zdly1o16ZT8mue_RPOl4na_wzCFzP0m6C1isWvGrr.QJDJJ3kJbxwDFu8OnSmTnDWr0YTbUz1UqqDz4ZMH4exsU8chbIWf7r_4VFBpHlCEEqo0_FjimlPFznKZRgs.Huz21fFSkMRlNbWmBnLegnEMRAQJnzkNGaWaY2L.oQbAaigFoGaHPTKfxRq9oTb.WX7uM5rBGMCjmIHOIQVHqwimk6yGAJCuLkVxwCcsEJHw76U9zzCj6x_RerqXQpv6Xse3f1aynGYzYfQ.PuI_sgrfZKGJszhVU9CKdh8CkyamQQQi5nPTQ4beEewJ_uJtl4QFCrbNMioeE7ZP7xSmUAFzGvVtqIcjx5efxh3iejAqN8yjyXW4_QR83TL890JZdGmfybg_7lhKTzkQAAozlw9OJcRYZ6v1X_PVWeVjnt.71xwQdZ7f1RL9HyXbdkNKaV4D_rcKTIA9hYphFn5QSB0HE7Gx28ZgfRr97F3WijI8CI2TqTVsLKVMcvOee6IDKxO8oGzBfjegXVV4TFE4R3DauLJ7NZRpB4c_.5DeeYDro2OP4uclvN9IXMMju.l2ttutsNbuEYDMMkWijBHjggLR0VJPxvRsNrnbcvpNyivx1cYV9DtmO.qSYKfhDbZrKGV2OCxRm6gjAGfRf2ZMrGbRqXO3Eg3iVbp5WMC6j2Zp3WA9ogWz19hpgO36zgMrwRcEjbSuJJcIPsdglJFdmq13HC1IB8gKdlpVMQcUfKjDmOBgQLiUagsr1M9M0KSVC.8vCXwJqTICiW5flzFjAqPVqy4yBvAuoQbRm8VMUbtHZxs7GabEo7feRVCiMGMleKBxpTix6TkzUS_k8CJyAc9L.R0mjDnyIO_1AWN9iv.VfW7ZEmAc8zFIXG8wj9Io5BFQ6GFlZvVbDvQkQ_IW9zkA8Sw6aV1Qatv.j_vY6NVSMo8OInc_yNoa6_Go1l_8RPekjq8wvLDKhs4pZaX8dgsQTtRxH975GVw3TYunHpDf84d1OcrocbCeQI0aVwhY_EH5N0QOiofjadbiRsuMvOVLfK6SSat1WxTWrRXwCW8mF63JP1jWbv3pN_MHHlVNbpkI8..R9bKtwV8INCglfde.pisIQSAfSHjjV3Pqwy7uVnmHjMR75tkpsRyb5TjTVwBJ.uJQKh0pE4PG1blx16j9g_PkYy_L8Q.4fnO2cPlsmqpO5rPhyRJ26uDJ2E7_yZ184NU58euOecXwzEtIGzj0vE67ccKN4T.fB1eySqbygwAv6S025CSEfFtc78ZRO2WWzi5.4zLDrSZUl1JF8mr.0BNrGY.lpag_6aV278hic_HlsePHxGc51tfkQLwVkxoY2she_1SA.VviEmHpJ1xKCCiSBLgIGt1luB_VT5VRe2KKGtip7AF1UfnISiawwkmL8Mfr3XT6Io.2BG1JdpR_m9H_4HpqlY_.ggLt5143N_r8bBJ9qxT.My61mXCIDOveY8MxL2WRtvs5iR1HwH4WA5t5aLOdnJUGS3K30OW",mdrd: "5bB7p39OQycD3F302KGVJ9NIYNoVMmXoZaA1YjluvPo-1739777329-1.2.1.1-d2Waod46tneyd6cJioKwpIIhzvWWMmFpyyKfwBQX17KaMtdxgVXKAs0Ow3YkYlbNZNl_e5tCwZ4yKewEvjQuVdmCIEJ8Cx4_Kcb2edd39rUHgPnp4yg4X6AcTbJGOr82b9juEnVfyKu48YsWxWPGiV9qNIB_dqLwtxzz.PQ3.uvOFovh4Ae54wXbCHX1vyGByUDKdga40QhDSQitAL.3c0j6xcjbqApsHH2mKY8LhcfXYnGiauSrBJPrC4gAX9F96fpSpLatm2N88j.eiKvxFH3LRdFwOWZSfmT_MwuHOpsgwf8x3wZXFTvpS9jqpQyyDJsHl4cytia2OfOy4Xx7kiUywZ9GvlGd.epAzxoNrQ5ZRMp9A9qvd2MCPV_f6_yisGvibrOXbX18mJki2q5QBMR8SGgJ1j3SbO2kIHzzH6bz0Rl9TKfelVT.F85K2PmnT_xrsHnbnZKeTSqKQKlOo87ssnG9ZnUT1TzjXStaxww_OaHyDzi7IIeZ0tGbV9OxQ8035cSKrGHYtX_S1_9ZOvMSoi9FVgJZhONjbTTe0.Xa.3GoK7nqumXXryZlLkXIbT6H2cdcutZhcqtTIET49V2hW7xneRhxvMWCXuXwh4kZYJqHVviPmH4pNwjNsS7PTvCuM0lebCULtQoYmmei.xatOUBOCKWptn16kezUNZkm_2iv2KjL7nNkvLTlLQ2jj_dHpdxBsxKiEHf3NQZYs1b.BMLn6RwTIazsHxUOdSYP2nPm8zd10.qkYEK3Vidx_66CXtk0QhP08R9eaYMFQoPFOWIHxxFhGkqWl5OT85enAgxwbJ4AfPydCaXHjdKq.dsnlXZGQYkAKzvasPXbtns.m7aHDuSU2JaUrCE..yHioYS0gKJuqKpQJO0Q7zwGtnZXfuro0Hc3k2Bzh7Xv_H38.svvv5qPkYdQlyVZWtS2dCE1dyL6tVdkdvWT2JugqPndrvkLB2rytt1N9vQsqc8Y.1FV5mvM8wzcdsdGgcBi5Ejosgxe3NY0DvppP.ncIjfiYrgg_lzctwuCmj9rr3UcO8w8R23JIxfPP4Q5wcZEUNuSg4puwCFcL25zBMp7xnqyV9Zgwg4TN5XXzaHv1J_d3gtvwyiqaCtep6RvzcfHmx2hl_Y7L8Q_7m8ONz.50BhFHF4Ifko.bQJo7G8sR2ut9IGW3Ni5zux5SiVl.lK32QxlnY0t7qC3mZhnnikjhUm_e6tmdfKQXowgllSgXPiMrpBfQi.aNodnDmpE_Sjh693hZHZNIy.C6CvjsBBOzJYMSktec5RYYy3_i6TBWBKqJNxx6do9EmPZaycThjJdeXd3GEfJ.K3zpN7BIRZMhPF.xZcFtNw8OJIhXmyRiDwKqsK9V.bnSuGGtr0xi.vudkimgifv0y2yXtxa.jiNG5ewyubf6sAI4WCAQcGxQNLGDy6.jrj88kApBOiz7bnwwP6NAUR5pAlk7DFfePZQlDJpU.wPYAXS8Q2SnCvPMjI5nZQuWHX5gtMmCLeT5vlTWdj879aXLi4cm0F2tWh62jRdgOXYA2OHAK_yIaSthr117IBmwxMaApfdoOQxInhS5D5DFDmq0y0md61bGLAmYHGDQY_gPvIYOX53x2sJ1F6pE0Ao8NW1Uw4dmaeVTDR7pYyFosUuljinleowTAOMaLPyJwv628yRxdadsbHKT3pRWV6NLlIQqYIl.V0YmFFUbQQF8hiLJs0ebgF3W7Wc6XH8fqqp34Qms3RRTkPVjidDBEZnMbeWsB..RhGXHHWKYyMH55H.CQg_ESbpAJ3TN1lQOUHKH22F48idgvj2ZAv13adnhQCa.pgpfk5Jk16Z5142HajQQMJbu7B5qEeHx3dfMX2yhzoCsImPXBPY3_k1jXas7nr3abgCUyF1Y3gpvagdUgCgfuztRA2.ZAzZFkGJy4P2LCPdRH1WLANhPtrLqd_ooN_a0eW8Srv3J0PvYHcxhP39OCxM.Z_9k_Gu"};var cpo = document.createElement('script');cpo.src = '/cdn-cgi/challenge-platform/h/b/orchestrate/chl_page/v1?ray=91341017bba5f8d0';window._cf_chl_opt.cOgUHash = location.hash === '' && location.href.indexOf('#') !== -1 ? '#' : location.hash;window._cf_chl_opt.cOgUQuery = location.search === '' && location.href.slice(0, location.href.length - window._cf_chl_opt.cOgUHash.length).indexOf('?') !== -1 ? '?' : location.search;if (window.history && window.history.replaceState) {var ogU = location.pathname + window._cf_chl_opt.cOgUQuery + window._cf_chl_opt.cOgUHash;history.replaceState(null, null, "\/abstracts\/search?q=non-integrable%20PDEs&__cf_chl_rt_tk=wxr4zRah0eQwliRpAKzp3SM53NHZVUzCPBdjkCZ7BDc-1739777329-1.0.1.1-L2oPZPNBRz_j7oFdZ5XPOtvobwmykqvg_OPhZJCwZB0" + window._cf_chl_opt.cOgUHash);cpo.onload = function() {history.replaceState(null, null, ogU);}}document.getElementsByTagName('head')[0].appendChild(cpo);}());</script></body></html>